Question

John works 20 hours per week at a part-time job. His original pay rate was $10.50

per hour, but he recently received a pay cut of x dollars per hour for being late to

work too many times. His total weekly pay, y, is represented by the equation

y=20(10.50-x).

If John's earned $160 for the week, what was the amount of his pay cut?

$1.50

$2.50

$2.00

$1.00

Answer 1

2.50$

Explanation:

y=20(10.50-x).

160 = 20 (10.50-x)

160 = 210 - x

160 - 210 = -x

-50 = -x

50 = x

50$ Is the total per week, divided by the number of hours 20. You’ll have the cut per hour.

50/20 = 2.50

Answer 2

x = $2.50

Explanation:

y = 20(10.5 - x)

$160 = 20(10.5 - x ) {use distributive property}

160 = (20*10.5) - (20*x)

160 = 210 - 20x {Add 20x to both sides}

160 +20x = 210 {Subtract 160 from both sides}

20x = 210 - 160

20x = 50

x = 50/20

x = $2.50