The graph represents the amount of money Sal earns for babysitting.

Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)

Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x

Answers

Answer 1

Answer: d, a, and c

Step-by-step explanation:

Answer 2

Part(A)

The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.

Part(B),

Yes. the line passes through the origin. The correct option is A.

Part(C),

The linear equation represented by the graph is y = 8x. The correct option is C.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).

Part(A),

The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.

Part(B),

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 8 - 4 ) / ( 1 - 0.5 )

Slope = 4 / 0.5

Slope = 40 / 5

Slope = 8 hours

The y-intercept is calculated as,

y = mx + c

16 = ( 2 x 8 ) + c

c = 16 - 16

c = 0

Hence, the line passes through the origin.

Part(C),

The equation of the line will be written as,

y = mx + c

y = 8x + 0
y = 8x

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2


Related Questions

What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?

Answers

Answer:

(-8, 6)(-8, 6)

Step-by-step explanation:

The formula for 180 degree rotation is (-x, -y)

ANSWER FOR BRAINLIEST

Answers

Answer:

x = 10

Step-by-step explanation:

( 6x - 6 ) + ( 7x + 1 ) + 55 = 180

6x + 7x = 180 + 6 - 1 - 55

13x = 130

x = 10

Check:

6(10) - 6 = 56

7(10) - 1 = 69

55 + 56 + 69 = 180 ✔️

what is the answer to 4x+10=26

Answers

the correct answer is x= 4

Answer:

x=4

Step-by-step explanation:

4x+10=26

Subtract 10 from both sides

4x=16

Divide by 4

x=4

A light bulb is designed by revolving the graph of:

[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]

Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).

Answers

Answer:

[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Factoring

Calculus

Differentiation

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]

Step 2: Differentiate

Basic Power Rule:                    [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify:                [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify:                [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]

Step 3: Integrate Pt. 1

Substitute [Surface Area]:                                                                             [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add:                                                               [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor:                                                                         [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]:                                                                                       [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property:                                                                     [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]

Step 4: Integrate Pt. 2

[Integral] Define:                                                                                             [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors:                                 [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL:                                                                                 [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule:                                                         [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply:                                                                                      [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]

Step 5: Integrate Pt. 3

[Integral] Substitute/Integral - FTC:                                                              [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC:                                                                                [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply:                                                                                     [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]

It is in ft² because it is given that our axis are in ft.

Step 6: Find Amount of Glass

Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.

Convert ft² to in²:                    [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply:                                   [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]

And we have our final answer! Hope this helped on your Calc BC journey!

n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4

Please i need the answer ASAP

Answers

here u go

In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points  T and  U  lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.

PLS MARK ME AS BRAINLIST!!!!!

Pls help, Will give brainliest

Use the diagram to answer the question.



corresponds to which line segment?

CD
BC
DE
CE
none of the above

Answers

Answer:

Step-by-step explanation:

AB is opposite <ACB         Given from the diagram

<ACB = <DCE                     Vertically opposite angles.

DE will be in proportion to AB because both are opposite the two vertically opposite angles.

Answer:

I think its believe its DE

A bench is located where the shadows casted by a 16 foot tall flagpole and 40-foot tall tree meet. If the bench is 18 feet from the flag pole, find the distance from the flagpole to the tree

Answers

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

Similar Triangles

Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.

Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

[tex]\displaystyle \frac{16}{18}=\frac{40}{x}[/tex]

Where x is the distance from the bench to the tree.

Solving for x:

[tex]\displaystyle x=40\cdot \frac{18}{16}[/tex]

x = 45 feet

Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet

This table represents the relationship between m, the amount of
money an employee has in the morning, and p, the amount of
money an employee has later in the day after they receive their
paycheck.
Which equation represents the relationship in the table?

a) p=m-160.25

b) p=160.25-m

c)p=m+160.25

d)p=200.25m+160.25

Answers

Answer:

bB

Step-by-step explanation:

The correct equation which represents the relationship in the table is,

⇒ p = m + 160.25

Where, m, the amount of money an employee has in the morning, and p, the amount of money an employee has later in the day after they receive their paycheck.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

This table represents the relationship between m, the amount of money an employee has in the morning, and p, the amount of money an employee has later in the day after they receive their paycheck.

Hence, By all options, we can check by substitute the given values.

So, By option 3;

The equation is,

⇒ p = m + 160.25

Substitute m = 200.25,

⇒ p = 200.25 + 160.25

⇒ p = 360.50

Thus, The correct equation which represents the relationship in the table is,

⇒ p = m + 160.25

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)

Answers

Answer:

Step-by-step explanation: that should help

Use the slider to change the scale factor. The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle? ​

Answers

Answer:

5 by 4

Step-by-step explanation:

sleepy haha sleepy sleepyy

Answer:

THe answer 5 by 4

Step-by-step explanation:

:)

What is the unit rate per year?

Answers

Answer:

3.6

Step-by-step explanation:

divide 36 by 10 be sure it's the easiest part

Answer:

Unit rate per year is :---

[tex] \frac{(50.4 - 7.2)}{(14 - 2)} = \frac{43.2}{12} = \boxed{3.6 \: feet \: per \: year} \\[/tex]

3.6 feet per year is the right answer.

HURRY WILL MARK YOU BRAINLIEST

Answers

Answer:

we have:

x + 4 + x + 6 + x + 2 + x + 18 + x = 180.3

<=> 5x + 30 = 540

<=> 5x = 520

<=> x = 104

we also have: m<5 + x = 180

<=> m<5 = 180 - 104

<=> m<5 = 76

Plssss help me with my homework

Answers

the answer is 9 pls mark as brainliest :))

Calculate or Simplify the value of each expression a {-8} . 2/3

Answers

Answer:

Step-by-step explanation:

[tex](-8)*\frac{2}{3}=\frrac{(-8)*2}{3}= \frac{-16}{3}[/tex]

is irrigation the artificial of application of water to the land or soil

Answers

I believe both is the answer to your question. In the definition of this word both land and soil are correct.

The definition of irrigation is:

"Irrigation is the artificial process of applying controlled amounts of water to land to assist in production of crops. Irrigation helps to grow agricultural crops, maintain landscapes, and revegetate disturbed soils in dry areas and during periods of less than average rainfall. "

What is the equation of a line with slope -3 and goes through point (2,-4)?

Answers

Answer:

y= -3x+2

Step-by-step explanation:

well there isn't really a step by step explanation but if you don't believe me you can use desmos graphing calculator to check my answer :))

Answer:

....

Step-by-step explanation:

The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number

A 4 in
B 6 in
C 1 in
D 2 in

Answers

Answer:

D. 2 inches.

Step-by-step explanation:

Given the following data;

Volume of golf (sphere) = 4 in³

A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.

[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]

Substituting into the equation, we have;

[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]

Cross-multiplying, we have;

[tex] 12 = 4 * 3.142* r^{3} [/tex]

[tex] 12 = 12.568 * r^{3} [/tex]

[tex] r^{3} = \frac {12.568}{12} [/tex]

[tex] r^{3} = 1.0473 [/tex]

Taking the cube root of both sides, we have;

Radius, r = 1.016 inches.

To find the diameter;

Diameter = radius * 2

Diameter = 1.016 * 2

Diameter = 2.03 ≈ 2 inches.

Answer:

the answer is 2.

Step-by-step explanation:

i just did this question on the exam

If I have a circle with the diameter of 2 what is the area of this circle?

Answers

Answer:

3.14

Step-by-step explanation:

Hope this helps!

Make sure to stay safe, or else. :> ^-^

Answer:

3.14 would be the answer

find the total surface area for this cuboid

Answers

Answer:

24cm

Step-by-step explanation:

surface= Ixb

= 6x4

= 24cm

Answer:

148cm(squared)

Step-by-step explanation:

5 x 6 = 30

5 x 4 = 20

6 x 4 = 24

30 + 24 + 20 = 74cm

74cm x 2 = 148cm(s)

A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the total cost, c. ​

Answers

Answer:

y=20x+217

Step-by-step explanation:

i need help plssssssssssssss

Answers

Answer:

It doesn't show what the drop down is. However, both of those are linear expressions.

Sergio's expressionn siplifies to: 9+3x (because two minuses cancel each other).

Leon's expression cancels to 12+6x (because 9+3=12)

Step-by-step explanation:

You have to show the dropdown to be able to answer exactly what they are looking for as an answer.

What is the x-coordinate of point B? Write a decimal coordinate.

Answers

Answer:

-1.5

Step-by-step explanation:

Hope this helps! :D

Still dont know... fff

Which of the following equations is equivalent to 2/3a - 7 = 1/3

Answers

Answer:

a = 11

Step-by-step explanation:

Given the equation 2/3a - 7 = 1/3

We are to find the value of a that satisfies the equation

2/3 a = 1/3 + 7

2/3 a = (1+21)/3

2/3 a = 22/3

2a = 22

a = 22/2

a = 11

Hence the value of a that satisfies the equation is 11

25. Explain the Error Jeremy factored 144x? – 100 as follows:
144x2 100 = (12x + 10)(12x – 10)
= 2(6x + 5)(6x – 5)
What was his error? Correct his work.

Answers

Given:

Consider the expression is

[tex]144x^2-100[/tex]

Jeremy factored the given expression and his steps are given.

To find:

The error in his solution.

Solution:

We have,

[tex]144x^2-100[/tex]

It can be written as

[tex]=12^2x^2-10^2[/tex]

[tex]=(12x)^2-10^2[/tex]

[tex]=(12x+10)(12x-10)[/tex]             [tex][\because a^2-b^2=(a+b)(a-b)][/tex]

Taking out common factors from each parenthesis.

[tex]=2(6x+5)2(6x-5)[/tex]

[tex]=4(6x+5)(6x-5)[/tex]

So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.

Therefore, Jeremy made his mistake in his last step.

PLEASE DUE IN 20 MINUTES!!!!!!


Write the quadratic function in standard form.
f(x) = (x + 14)2

Answers

Answer:

Step-by-step explanation:

It's essential that you use the symbol " ^ " to indicate exponentiation.

Expanding f(x) = (x + 14)^2 results in x^2 + 28x + 196 (which is in standard form)

plz answer only if correct :)

Answers

Answer:  -21

Step-by-step explanation:

11-32

what does 40 centimeters equals in meters

Answers

Answer:

Its 0.4 meters!

Step-by-step explanation:

You want to add lace around the outside of your circular kitchen table cloth. If the diameter of the table cloth is 16 cm, then which of the following measurements would represent how much lace you need?

Answers

The length of lace would be the circumference of the circle.

Circumference = diameter x Pi

Circumference = 16pi cm

Circumference = 50.24 cm ( approximately)

Answer:

The circumference of the circle.

Step-by-step explanation:

Math equation with its graph

a) y=3x+2

b) y= -x+5

c) y= 2x-1

d) y= -4x

See picture attached

Please help

Answers

Answer:

y=3x+2 to B

y=-x+5 to D

y=2x-1 to C

y=-4x to A

b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)

Answers

I just plugged in 15 for b and 9 for c and got -15
Other Questions
2. Solve the equation.x - 5(x - 1) = x - (2x - 3) can someone help me out here pls?how much butter is needed to make a cake for 10 peopleingredients for 4 person cake'80g plain flour''60g almonds''90g brown sugar''60g butter' Solve 6 - 5x = 7 + 3x All of the following are used to describe relative location except:a.Distance between placesb.Latitude and longitude coordinatesc.Landmarksd.Direction please help solve this, i can't figure out how to do it Evaluate the function. f(x)=-4x^2+10 find f(-2) Mocha Company manufactures a single product by a continuous process, involving three production departments. The records indicate that direct materials, direct labor, and applied factory overhead for Department 1 were $100,000, $125,000, and $150,000, respectively. The records further indicate that direct materials, direct labor, and applied factory overhead for Department 2 were $55,000, $65,000, and $80,000, respectively. In addition, work in process at the beginning of the period for Department 1 totaled $75,000, and work in process at the end of the period totaled $60,000.The journal entry to record the flow of costs into Department 2 during the period for direct materials is:________.A. Work in Process--Department 2 55,000 Materials 55,000B. Work in Process--Department 2 150,000 Materials 150,000C. Materials 55,000 Work in Process--Department 2 55,000D. Work in Process--Department 2 100,000 Materials 100,000 75% of what number is 120?1.616010,800 20Compared with mitosis, the process of meiosis results in daughter cellsthat are-* Define the meaning of Sparta's governing bodies:Appeals:Gerussia: Eforato: Which field of study has ancient Egypt created? This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car? Show your work. How many words can you find inside of the word personification To be a national citizen, one must reside in a country, vote, hold property, work or goto school, drive a car, and participate in all the rights granted citizens by the nationstate.Question 3 options:TrueFalseThis course teaches us that we live in an interdependent world, global citizenshipencourages us to recognize our responsibilities towards each other.Question 4 options:True False which type of bond involves 2 different metals?A. ionic B. CovalentC.MetallicD. Bonding would not occur Help pls confused with question Natural disasters can also play a huge role in changing selection pressures for a species. How could a natural disaster cause a similar change in a population? When I had been to Turkey, he is coming with us. Select the facts that support the endosymbiotic theory. Check All That Apply Mitochondria and chloroplasts have their own DNA. Mitochondria and chloroplasts have their own DNA. Mitochondria and chloroplasts often leave cells, surviving well on their own. Mitochondria and chloroplasts often leave cells, surviving well on their own. Mitochondria and chloroplasts are surrounded by two membranes. Mitochondria and chloroplasts are surrounded by two membranes. Mitochondria are about the same size as most bacteria. Y=x (58 power) /5solve for y