Question

anne and kyleigh worked over summer vacation.
the equation below represents the amount of money anne earned after x hours of work.
$y = \\$8.75x$
the table below shows the amount of money kyleigh earned after x hours of work.

hours	income
8	$114.00
12	$171.00
16	$228.00

who earned more money per hour at their job?
a. kyleigh earned more money per hour.
b. anne and kyleigh earned the same amount of money per hour.
c. there is not enough information to determine their hourly wage.
d. anne earned more money per hour.

Explanation:

Step1: Find Anne's hourly wage

Anne's income equation is \( y = \$8.75x \), where \( x \) is hours. The coefficient of \( x \) is the hourly wage, so Anne earns \$8.75 per hour.

Step2: Find Kyleigh's hourly wage

Use the table. For 4 hours, income is \$57.00. Hourly wage = LXI0? Wait, no, wait the table: 4 hours, \$57? Wait, no, 57 divided by 4 is 14.25? But wait Anne's is 8.75. Wait, no, maybe I miscalculated. Wait, no, the table: 4 hours, \$57? Wait, 57 divided by 4 is 14.25, 114 divided by 8 is 14.25, 171 divided by 12 is 14.25, 228 divided by 16 is 14.25? Wait, no, 228 divided by 16 is 14.25? Wait 16*14=224, 228-224=4, so 14.25. Wait but Anne's is 8.75. Wait, but the options: Wait, maybe I made a mistake. Wait, no, the equation for Anne is LXI1, so her hourly rate is \$8.75. Kyleigh's: let's take 4 hours, \$57. 57/4 = 14.25? Wait, that can't be. Wait, no, maybe the table is wrong? Wait, no, 8 hours, \$114. 114/8 = 14.25. 12 hours, 171/12=14.25. 16 hours, 228/16=14.25. So Kyleigh's hourly rate is \$14.25, which is more than Anne's \$8.75. So the correct answer is A.

Answer:

A. Kyleigh earned more money per hour.