The rate at which crickets chirp is a linear function of
temperature. At 60°F they chirp 74 times per minute.
At 72º they chirp 120 times per minute.
a.) Write an equation in slope intercept form that
represents this function.
b.)Predict the number of chirps per minute when the
temperature is 64º.

Answers

Answer 1

Answer:

a) [tex]y=\frac{23}{6} x-156[/tex]

b) [tex]\frac{268}{3}[/tex]

Step-by-step explanation:

Formulas for linear equations:

Slope-intercept: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Point-slope: [tex]y-y_1=m(x-x_1)[/tex], where (x₁, y₁) is a point on the function and m is the slope.

a) We are given two points. If you're given two points (x₁, y₁) and (x₂, y₂), the slope m is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Let's mark the temperature on the x-axis, and the number of chirps per minute on the y-axis. So, we have the following points: (60, 74), and (72, 120). Calculating the slope m between these two points:

[tex]m=\frac{120-74}{72-60}[/tex]

[tex]m=\frac{23}{6}[/tex]

Since we have the x and y coordinates of a point on the function, we can write an equation in point-slope form, which will help us to find the y-intercept. We need the y-intercept in order to write the slope intercept form of the equation. We will use the point (60, 74) here, although you can also use (72, 120) if you want.

Point-slope form equation of the linear function:

[tex]y-74=\frac{23}{6} (x-60)[/tex]

Now that we have the point-slope equation of the function, we can find the y-intercept. The y-intercept is the point on the function where the graph crosses the y-axis (when the x-value is 0). So, we plug in 0 for x into the equation and solve for y:

[tex]y-74=\frac{23}{6} (0-60)[/tex]

[tex]y=-230+74[/tex]

[tex]y=-156[/tex]

Now that we have the y-intercept value of the function, we can write an equation in slope-intercept form:

[tex]y=\frac{23}{6} x-156[/tex]

b) Since we marked the temperature on the x-axis, we can just plug in the number 64 as the x-value into the equation we have. y will be the number of chirps per minute when the temperature is 64º.

[tex]y=(\frac{23}{6} *64)-156[/tex]

[tex]y=\frac{736}{3} - \frac{468}{3}[/tex]

[tex]y=\frac{268}{3}[/tex]

If you have any questions, leave a comment below.


Related Questions

Please answer this and please I need this I will give you brainiest answer please I need this answer correct ASAP

Answers

Answer:

Step-by-step explanation:

Based on the number of hours that are there it look like each hour that it goes 50 adds on

1. The time goes up one hour each time

2. The number of pages go up by 50

So if there are 4 hours then this would happen

 1              2                   3                    4

50+50=  100+50=      150+50=       200

50 adds on as the hour goes up.

Company A charges $28.50 plus $18 per room to clean carpet. Company B charges $16.50 plus $20 a room.

Answers

Answer:

Company B

Step-by-step explanation:

28.50 plus 18= 46.50

16.50 plus 20= 36.50

Put x = 4 + y in slope-intercept form.

Answers

Answer:

y=x-4

Step-by-step explanation:

I graphed this out and got the equation.

Can someone help I need the answer ASAP

Answers

Answer:

I belive B

because if his are more than hers then that means shers us 50 and his is 75

Answer:

b

Step-by-step explanation:

It is B because Paul has 25% more then janet

A 3-yard roll of wrapping paper costs $13.14. What is the price per foot?​

Answers

Answer:

Step-by-step explanation:

1 yard is equal to 3 feet.

since you have 3 yards, it'll be 9 feet.

13.14/9 to get your answer

or $1.46 per foot

The price per foot of wrapping paper is $1.46.

First, we need to convert 3 yards to feet. There are 3 feet in 1 yard, so 3 yards is equal to 3 * 3 = 9 feet.

The price per foot is simply the total price divided by the number of feet. In this case, the total price is $13.14 and the number of feet is 9, so the price per foot is:

price per foot = $13.14 / 9 feet

= $1.46 per foot

Therefore, the price per foot of wrapping paper is $1.46.

To learn more about price here:

https://brainly.com/question/17375825

#SPJ2

Katniss Everdeen found the absolute value of |25| to be -25.
Do you agree? Yes or No
Explain:

Answers

Answer:

No

Step-by-step explanation:

Absolute values will never be negative.

Since absolute values are simply the number's distance from zero, it can never be negative, since there are no negative distances.

In this case, | 25 | is equal to 25. This is because the distance from 0 to 25 is 25.

So, Katniss is wrong.

PLZ ANSWER BOTH QUESTIONS

Answers

Answer:

1. $1.25

2. 0.05x + 0.25y

Step-by-step explanation:

nickles = 0.05

quarters = 0.25

0.05^10 =    0.50

3 x 0.25 = + 0.75

                    1.25

0.05x + 0.25y

Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Monday he practice for 1 12 1 2 12 1 2 hours, on Tuesday he practiced for 2 14 1 4 14 1 4 hours, and on Wednesday he practiced for 1 12 1 2 12 1 2 hours. How many hours does Cesar need to practice during the rest of the week in order to have his 10 total hours?

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't really clear. Let me help you rephrase it and solve.

Let's say Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Monday he practice for 1 1/2 hours, on Tuesday he practiced for 2 1/4 hours, and on Wednesday he practiced for 1 1/2 hours.

The total hours that Cesar has used in practicing will be:

= 1 1/2 + 2 1/4 + 1 1/2

= 5 1/4

To get the number of hours that Cesar need to practice during the rest of the week in order to have his 10 total hours, we subtract 5 1/4 hours from 10 hours. This will be:

= 10 - 5 1/4

= 4 3/4 hours.

Cesar needs to practice for 4 3/4 hours more.

PLEASE HELPP WITH THIS QUESTION

Answers

Well I just learned about this so I think it’s Paulo!
Hope this helps
P.s, no explanation because I am bad at explaining these :)

3 1/3 divided 1/2 =







Answers

Answer:

6 2/3

Hope this helps!

Step-by-step explanation:

Please mark brainliest if correct

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{10*2}{3*1} = \frac{20}{3}[/tex]

[tex]\frac{20}{3} = 6\frac{2}{3}[/tex]

AWARDING DOUBLE POINTS question in pic, will report anything other than the answer

Answers

Answer:

m∠R is 72°

Step-by-step explanation:

In the given figure

∵ ΔPQR ≅ ΔUVW

→ From congruency

∵ m∠P = m∠U

∵ m∠Q = m∠V

m∠R = m∠W

∵ m∠R = (10x - 18)°

∵ m∠W = 8x°

∵ m∠R = m∠W

→ Equate their measures

10x - 18 = 8x

→ Add 18 to both sides

∵ 10x - 18 + 18 = 8x + 18

∴ 10x = 8x + 18

→ Subtract 8x from both sides

∴ 10x - 8x = 8x - 8x + 18

∴ 2x = 18

→ Divide both sides by 2 to find x

x = 9

→ Substitute the value of x in the m∠R

∵ m∠R = 10(9) - 18

∴ m∠R = 90 - 18

∴ m∠R = 72°

m∠R is 72°

Find the coefficient of the third term in the expansion of (2x+y)^5
a. 80
b. 40
c. 10
d. 2

Answers

Answer:80

Step-by-step explanation:

Did the question on illuminate

Can someone please help? I will give Brainliest. ​

Answers

Answer:

Ask your mom and she might tell you

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

PLEASE HELP ILL MARK BRAINLIEST

Answers

Answer:

A, C, D, and E

Step-by-step explanation:

According to following triangle, the choices that explains that [tex]\triangle DBC[/tex] is isosceles, are:

-[tex]\overline {AB}[/tex] is an angle bisector of [tex]DAC[/tex]. (Choice A)

-[tex]\angle BDC[/tex] is congruent to [tex]\angle BCD[/tex]. (Choice C)

-[tex]\angle ABD[/tex] is congruent to [tex]\angle ABC[/tex]. (Choice D)

[tex]\angle DAB[/tex] is congruent to [tex]\angle CAB[/tex] (Choice E)

Find the slope of the line

Answers

Answer:

1/4

Step-by-step explanation:

It takes the line 4 horizontal unitz to get to the next vertical unit.

Answer:

C 1/4

Step-by-step explanation:

Devin has a furniture store. He sold a shoe rack recently for 3450. It cost him just to make the rack What is Devin's profit percent ?

Answers

You forgot to put how much it cost to make the rack, message me how much it was and I’ll get back to you

look at the picture​

Answers

Same:::::::::::::::::::

Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC

Answers

I'm pretty sure this is the right answer..

What is the exponential expression for the numerical expression ​14⋅14⋅14⋅14​?


​144​

4⋅144

​564​

414

Answers

Answer:

144

Step-by-step explanation:

i just did the test

-2x + 3y = 54
What are the x and y intercepts

Answers

Answer:

x= -27 y=18

Step-by-step explanation:

plug in zero for x to find y and plug in zero for y to find x

Answer:  The x-intercept is (-27,0)

The y intercept is (0,18)

Step-by-step explanation:

For the x- intercept, Substitute 0 for y and solve for x

-2x + 3(0) = 54

-2x + 0 = 54

x = 54/-2

x = -27

For the y -intercept, Substitute 0 for x and solve for y

-2(0) + 3y = 54

0 + 3y = 54

y = 54/3

y = 18

What is the value of x in the figure below?

A. 55°
B. 22.5°
C. 45°
D. 57.5°

PLEASE HELP IM FAILING

Answers

180-115=65
65+70=135
180-135=45

SO C.45

A person rents a moving truck for the day. There is an initial fee of 20$ and an additional 0.25$ every mile driven. Write the equation represent cost, C(m), as a function of the number of miles traveled, m.
C(m)=___________

Answers

Answer:

Step-by-step explanation:

A package that is heavier than 11 lb. and 8 oz. will have a label that says "heavy" on it. Gloria packed 6 flower pots to send to her customers. Each of the flower pots weighs 1 lb. and 12 oz. The packing material weighs 5 oz. Will her package be labeled as "heavy"?

Answers

Answer:

No, the package will not be labeled "heavy"

Step-by-step explanation:

1) if you multiply 1lb. and 12 oz. by the number of flower pots(I'll be using the variable P), then the expression will be (1lb.P) (12oz.P).

2) then after you get the answer for that, which is 6lb. 72oz. and after that you'll have to add the weight of the packaging, which is 5oz. which the answer is 6lb. 77oz.

3) after, you will then have to get the number of pounds from the ounces if there are more than 16, which there are, so after you get the answer out of that, which is 4 and then you would have 13oz. leftover.

4) you would then have to add your 4lb. to your 6 that you already have, which would be 10lb.

Final) so in the end, you would have 10lb. 13oz.

Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 70 cm?

Answers

Answer:

The area of the sheet needed is 3m^2 approx.

Step-by-step explanation:

Step one:

given

height h= 1m

diameter= 70cm= 0.7m

radius r= d/2= 0.7/2= 0.35m

The surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface.

The formula is

T.S.A.=2πrh+2πr^2

Required is the T.S.A

Step two:

substitute our given data we have

T.S.A.=2*3.142*0.35*1+2*3.142*0.35^2

T.S.A.=2.199+0.769

T.S.A.=2.96m^2

T.S.A.=3m^2 approx.

which relation is a function pls help will give brainliest

Answers

Answer:

D it is....................

It’s the Letter D because, when using the vertical line test, nothing touches each line more than once. I have an example that I drew.

i need help pls asap

Answers

Answer:

Y=114 X=54

Step-by-step explanation:

Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X

A line that passes through the points (−5, 7) (10, 1). Using the mx+b format

Answers

Answer:

y=2x-19

Step-by-step explanation:

I'm guessing you mean slope intercept form y=mx+b

If so, first you would have to find the slope of the line

To do that, use the formula y2-y1/x2-x1

Remember you can pick any coordinate pair for this

I will pick 1=y2 -5=y1 10=x2 and 7=x1

When I put that in the equation I get 1-(-5)/10-7

Overall I get 6/3, or 2

Now to find the y intercept, you plug in the slope and one of the coordinates(any is fine)

I will pick (10,1)

1=y and 10=x and 2=m

1=2(10)+b

this simplifies to 1=20+b

now subtract 20 from both sides and get -19 = b

Now you have your equation y=2x-19

Jane wants to measure the amount of precipitation in her backyard for the month of January. Which weather instrument should Jane use?

Answers

Answer:

rain gauges

Step-by-step explanation:

help me I'm bout to breakdown on this and cry help I'm rlly not ok​

Answers

Answer:

the answer id D the last one

Answer:

me: ay! sir! its says no pooin there! ???: I'm not pooin! I'm peeing! me: =.= o ok!

Step-by-step explanation:

XD

Solve : 24 = 6 - 6 = 2 + (
3 x 7)

Answers

Answer:

3.5

Step-by-step explanation:

24=0=2×3×2×7

24=6×14=0

24=84 =0

24÷84=3.5

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