Question

Hector works 10 hours per week at a part-time job. His original pay rate was $8.50 per hour, but he recently received a raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y = 10(8.5 + x). If Hector earned $100 last week, what was the amount of Hector's raise per hour? A . $12.00 B .$15.00 C. $1.50 D. $3.00

Answer 1

$1.50

Explanation:

Given the total weekly pay of Hector modeled by the equation;

y = 10(8.5 + x)

We are to find the amount of Hector's raise per hour x given the total oay y = $100

Substitute y = 100 into the equation and find x as shown;

y = 10(8.5 + x)

100 = 10(8.5+x)

100/10 = 8.5 + x

10 = 8.5 + x

x = 10 - 8.5

x = 1.5

Hence the amount of Hector's raise per hour is $1.50