Question

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 he worked.
Carl's earnings
Time(h) 3 4 8 10
Money earned ($) 45 75 120 150
(a) How much money does Carl make 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.
(Please answer all of them, Don't answer if you aren't 100% sure about your answer.)

Answer 1

So, Louis earns 12 dollars per hour.

To find the rate for Carl, we need to divide the money earned from the hours.

`(dollars)/(hours) =(45)/(3)=15`

Carl earns 15 dollars per hour.

(a) Carl earns 15 dollars per hour.

(b) Carl earns more than Louis, because 15 > 12.

(c) In Picture