The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of m
oney 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 ($) 42 70 112 140
(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.
Label the axes
(a) Carl earns $42 per 3 hours as given. To find the amount he earns per hourdivide:
$42/3 hours = $14/hour
(b) To see how much Louis makes per hour, simply plug in 1 for the hours value x:
y = $11(1 hours)
y = $11/hour
Thus Carl makes more than Louis.
(c) The equation of Carl's dollars per hour is similar to Louis' = 14x
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
