Mathematics High School

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to
find his pay.
Hours
1
1.5
2
2.5
3
Pay
18
23
28
33
38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
O
C. f(x) = 0.5x + 1
D. f(x) = x + 18

Jack Works After School. Each Day He Is Paid A Set Amount, Plus An Hourly Wage. Look At The Table. Choose

Answers

Answer 1

Answer:

A. [tex] f(x) = 10x + 8 [/tex]

Step-by-step explanation:

The equation in slope-intercept form, [tex] f(x) = mx + b [/tex], can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 [/tex]

Find b, by substituting x = 1, f(x) = 18, and m = 10 into [tex] f(x) = mx + b [/tex].

[tex] 18 = (10)(1) + b [/tex]

[tex] 18 = 10 + b [/tex]

Subtract 10 from each side

[tex] 18 - 10 = b [/tex]

[tex] 8 = b [/tex]

[tex] b = 8 [/tex]

Substitute m = 10 and b = 8 into [tex] f(x) = mx + b [/tex].

✅Thus, the linear function that can be used to find Jack's pay would be:

[tex] f(x) = 10x + 8 [/tex]

Related Questions

Which expression would be easier to simplify if you used the associative property to change the grouping?
A. ( 50 + 50 ) + 63
B. ( 43 + 60 ) + 40
C. ( 2/5 + 3/5 ) + 7/3
D. [ - 14 + ( - 26 ) ] + 67

Answers

Answer:

probably A

Step-by-step explanation:

Samson owes his friend
$42.75. If Samson just
got paid $167.25 and
pays back his friend.
How much money will
he have left over?

Answers

the answer would be $124.50:)
Ok .……………………124.50 ok

What is the square root of 1,567?

Answers

39.5854 (this answer is rounded)

Answer:

39.585

Step-by-step explanation:

18inch/4secs how far would the car travel in 1 second?

Answers

Answer:

4.5 inch per 1 sec

Step-by-step explanation:

18/4=4.5

Fill in the blank to find the y-intercept. Please help me​

Answers

Answer:

the y-intercept is 2 hope this helps

Answer:

y intercepts -1.5

Step-by-step explanation:

X=0 so you need to find it inthe point where the x = 0

Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.

Answers

Answer:

it has more than 2 factor

Answer:

I think its b I'm pretty sure

the domain _ is the set of inputs for a function

Answers

78 is the set of inputs for a function

What is the area of the figure?
3 yd
6 yd
9 yd
Syd

Answers

Answer:

D) 48 yds^2

Step-by-step explanation:

A=(h(b)b)/2

Right side triangle equals 12

Left side triangle equals 9

A=wl

Rectangle equals 27

9+27+12=48

Plz help me with 6th grade math- I’m dumb

Answers

It’s length times width time height so the first one should be 75 and I have a link to answer them reply If you want it?

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

The answer to your question is 3 because I did this same thing and it was 3

If cot A is undefined, then A =?

Answers

Answer:

A = 0°

Step-by-step explanation:

[tex] \cot A = undefined \\ \\ \cot A = \cot 0 \degree \\ \\ \huge \red{ \boxed{ A = 0 \degree}} \\ \\ [/tex]

Please help me nobody will help me with this please

Answers

Answer:

[tex]24[/tex]

Step-by-step explanation:

Each bottle of water costs $2 so we multipy 12 by 2.

[tex]12[/tex]×[tex]2=24[/tex]

Determine if the figures below are congruent? Explain why or why not. I need it for a test please answer fast!

Answers

Answer:

Yes they should be congruent ones just at a different angle.

Step-by-step explanation:

what is the slope of the line? SOMEONE HELP ME PLSSS

Answers

The slope of the line is 3/2

HELP!! THIS WAS DUE AT MIDNIGHT, AND I STILL HAVE ANOTHER ONE THAT WAS DUE AT MIDNIGHT
144 students enter a spelling bee, but only 1/6 of the group will make it into the semi-final round, and only 2/3 of that group will make it into the final round. How many students will enter the final round of the spelling bee?
I know I'm sorry the person that made this problem did a terrible job on wording it. HELP!!!!!!​

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

144 students enter a spelling bee contest.

Step 1

For the semi final round we are told that only 1/6 of the group will make it into that round.

This is calculated as

1/6 × 144/students = 24 students.

This means that only 24 students would make it into the semi final rounds.

Step 2

We are also told in the question that only 2/3 of THAT group would make it into the final round.

" THAT" group been referred to in the question means the number students that made it to the semi final round

This is calculated as

2/3 of that group( the group that made it to the semi finals)

= 2/3 × 24 students

= 16 students.

Therefore, the number of students that will enter the final round of the spelling bee is 16 students.

???????? Helppppp :(

Answers

sorry man you’re on your own

Pre-calc. I need help NOW

Answers

X=0, x+4=0, and x-4=0. x=0, -4,4

Alana biked 15 miles in 1 hour. How many miles did she bike in 3 hours?​

Answers

Alana biked 45 minutes in 3 hours.

Answer:

45 miles

Step-by-step explanation:

15 miles = 1 hour

15 x 3 = x

x = 45

45 miles = 3 hours

Which of the following ordered pair(s) is/are solutions to the following system of
equations?
3x - 5y = 15
5x – 10y = 25
(11,3)
(3. - 1)
(-7,- 6)
All of the above

Answers

Answer:

none of them the correct answer is (x,y) (5,0)

apesapesapesapesapesapesapesapesapesapesapesapesapesapes

Answers

Answer:

can you be more specific with your question?

Step-by-step explanation:

As what I understood your question to be

(a-t)^2 -(t + a)

when a is 8, and t is 3

(8-3)^2 - (8+3)

(5)^2- (11)

25- 11

= 14

please solve-3(×-2)=2(×-7) and write a reason for each step ​

Answers

-3(x - 2) = 2(x - 7) remove the parentheses
-3x + 6 = 2x - 14. Move the terms
-3x - 2x = -14 - 6. Collect like terms. Calculate.
-5x = -20. Divide both sides.
Solution: x = 4

Which table represents y as a function of x?
PLEASE HELP??
OR BRAINLIEST:((??

Answers

i believe the correct answer is B

HELP !
CLICK ON THE PHOTO FOR QUESTION. ALOT OF POINTS GIVEN AWAY!

Answers

Answer:I believe the answer is A.

Step-by-step explanation:

0.05 x 51.00 = 2.55

2.55 + 51.00= 53.55

What do you learn in Algebra 2 that you did not learn in Algebra 1. Is Algebra 2 just a review?

Answers

a lot trust me only like the first few chapters are only algebra 1 stuff other than that it’s mostly all new

Answer:

what grade are you in, im in 7th but im doing algebra.

Step-by-step explanation:

solve for x: 2x- 2 =3(x- 2)​

Answers

Hey the answer to your question is x=4

Answer:

x=4

Step-by-step explanation:

2x- 2 =3(x- 2)

2x- 2 =3x- 6

    +2.      +2

2x.     =3x - 4

-3x.     -3x

-1x.    = -4

Divided - 1 both side

x=4

Suppose there are 360 students in the seventh grade at the middle school the table shows the favorite outdoor activities for a random of seventh graders from the schoolBased on the responses from the start of the survey about how many of the 360 students will be expected to choose kickball.

Answers

120 is the answer to the problem.

how to find square root of 8653

Answers

Answer:

I don't think you can so keep the number 8653 under the radical :)

Answer:

you cant do it so keep the number 8653

Step-by-step explanation:

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.

________ – 5xy3 + 9x2y

0
5xy3
9x2y
8y4
4xy3

Answers

Answer:

Yo The answer is A,C,E or 0, 9x2y, and 4xy3

Step-by-step explanation:

Got it right on Edge. Good luck

Answer: A, C, E

Step-by-step explanation:

A grass fertilizer is sold in 5-pound bags. Stuart calculates that he needs enough fertilizer to cover 4,350 square feet. If each pound of fertilizer covers 362.5 square feet, how many 5-pound bags does Stuart need to buy?

Answers

Answer:

3

Step-by-step explanation:

What is the opposite of –0.8?

Answers

Answer:

0.8

Step-by-step explanation:

its positive not negative

Answer:

0.8

Step-by-step explanation:

Common Sense sir

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