Question

3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns.

The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time (h) 3 5 8 10
Money earned ($) 45 75 120 150
(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes.

Answer 1

A can be answered simply by dividing the money earned by it's respective hours, showing that Carl makes $15/hour

B can now be easily answered as we know Louis makes $12/hour and Carl makes 15, the answer makes itself obvious

C can be made with the function y = 12x, labeling the x-axis hours and the y-axis money made