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.
(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.

(a) Carl earns $45 per 3 hours as given. To find the amount he earns per hour, we simply divide:

$45/3 hours = $15/hour

(b) To see how much Louis makes per hour, simply plug in 1 for the hours value x:

y = 12(1 hours)

y = $12/hour

Thus Carl makes more than Louis.

(c) The equation of Carl's dollars per hour is similar to Louis':

y = 15x 

where x is the number of hours he works and y is the number of dollars he earns. Plug in whole number values of hours for x and plot the points (x, y) on a graph.