Question

Evan earns $12 an hour plus $15 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: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answer 1

Part A: M = 12x. (x hours at the rate of $12/per hour) Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per hour plus y hours at the rate of $15 per hour) Part C: Let us first find out the amount earned through regular working hours and overtime hours. Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360 The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10 Total hours worked during the week = 30 + 10 = 40.