Question

The equation y = 13x describes the amount of money Sarah earns, where x is the number of hours she works

and y is the amount of money she earns.
The table shows the amount of money Austin earns for different numbers of hours worked.
Austin’s Earnings
Time (h) 3 5 8 10
Money ($)
earned
42 70 112 140
(a) How much money does Austin earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Austin’s earnings over time in hours. Remember to label the axes.

Answer 1

70-42= 28 28/2=14
112-70=42 42/3=14
140-112=28 28/2=14
so, austin earns $14 per hour

since sarahs earnings are y=13x she earns $13 per hour. austin earns $14 so he earns more

Answer 2

A) $14/hr B) Austin

Explanation:

A)

If he earns $140 in 10 hours you can divide 140 by 10 to find out how much he makes per hour

B)

Sarah makes $13/hr which is $1 less than Austin