Question

Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points) Part C: Gary earned $408 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answer 1

pay=pay per hour times hours

A. M=12x

B. for more than 30, so

T=amoutn earned already (30hr normal)+overtime
T=12(30)+16y
T=360+16y



C.
hmm, 360 is if worked 30 hours, the rest is overtime
so
408=360+16y where y is overtime
minus 360 both sides
48=16y
divide both sides y 16
3=y
3 hours of overtime