Question

Sarah earns $500 a week at her job when she works 40

hours. When she works more than 40 hours a week, she
calculates her gross pay in dollars, G, using the equation
shown below.
G = 18.75(H-40) + 500
where H represents the total number of hours worked.
If her gross pay one week was $612.50, what was the
total number of hours she worked that week?

Answer 1

G = $612.50 when H = 46hours

Explanation:

Given:

G = 18.75(H-40) + 500

Where,

G =Gross pay in dollars

H = Number of hours worked

If her gross pay one week was $612.50, what was the

total number of hours she worked that week?

G = $612.50 when H = ?

G = 18.75(H-40) + 500

612.50 = 18.75H - 750 + 500

612.50 = 18.75H - 250

Add 250 to both sides

612.50 + 250 = 18.75H

862.5 = 18.75H

Divide both sides by 18.75

862.5 / 18.75 = 18.75H / 18.75

46 = H

H = 46

If her gross pay one week was $612.50, her total hours worked = 46hours