Question

hector works 12 hours a week at a part time job. His original pay rate was $8 per hour but he recently received a pay raise of x dollars an hour. his new total weekly pay, y, is represented by the equaiton y=12(8+x)

Answer 1

Missing:

If Hector earned $126 last week, what was the amount of Hector's raise per hour?

Answer:

$x = 2.5$

Step-by-step explanation:

Given

$y=12(8+x)$

Required

Solve for x when y = 126

$y=12(8+x)$

$126 = 12(8 + x)$

Divide through by 12

$\frac{126}{12} = \frac{12(8 + x)}{12}$

$10.5 = 8 + x$

$x = 10.5 - 8$

$x = 2.5$