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

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.
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Answers

Answer:

it has more than 2 factor

Answer:

I think its b I'm pretty sure

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Answer:

can you be more specific with your question?

Step-by-step explanation:

As what I understood your question to be

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Step-by-step explanation:

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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:

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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

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Alana biked 45 minutes in 3 hours.

Answer:

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Step-by-step explanation:

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Answers

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0.8

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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9 yd
Syd

Answers

Answer:

D) 48 yds^2

Step-by-step explanation:

A=(h(b)b)/2

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Answers

Answer:

[tex]24[/tex]

Step-by-step explanation:

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

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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?
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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.

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

probably A

Step-by-step explanation:

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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:

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Answers

Answer:

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