Question

Geeta, Richard, and Steve are all computer repair technicians. The equation, graph, and table shown represent the amount of pay (p) in dollars they each receive as a function of the number of hours (h) a computer repair takes. Study each of the functions and then answer the question using complete sentences.

Grade 8 Unit 7 Unit Test Question 14 Image 1
Who earns the most per hour? Explain how you found the answer.

(4 pt - who earns the most, 8 pt - correct reasoning, 8 pt - complete sentences)

Answer 1

Steve earns the most per hour

Explanation:

Let

p ----> the amount of pay in dollars

h ---> the number of hours

Geeta's Pay

we have

`p=75+45h`

This is a linear equation in slope intercept form

the slope represent the unit rate

`m=\$45\ per\ hour`

Richard's Pay

Find the slope of the linear equation

take two points from the graph

(0,50) and (1,80)

`m=(80-50)/(1-0)\\m=\$30\ per\ hour`

Steve's Pay

Find the slope of the linear equation

take two points from the data in the table

(3,165) and (5,275)

`m=(275-165)/(5-3)\\m=\$55\ per\ hour`

Compare the unit rates or slopes

55> 45>30

therefore

Steve earns the most per hour