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

Answer:

Steve earns the most per hour

Step-by-step 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