Question

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week. Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

Answer 1

A. $10x=W B. $10x +$15y=S C. $490= $10(40)+$15y 490=400+15y
490 -400=400-400+15y 90=15y 90/15=15y/15 6=y
so he worked 40 regular and 6 overtime hours= 46hours worked

Answer 2

A.) The equation is W=$10x. Because he earns $10 per hour, you would multiply the $10 times X, the amount of hours worked, to find the total which would be W.

B.) The new equation is S=$15x+$400. We already know that any amount over 40 hours is over time, so we have to find what the payment is for the maximum of regular hours. 40 times 10 equals 400. Then any hour more will be over time so it will be multiplied by $15. S then equals the total amount of this.

C.) This time, we will swap the total amount of wages for $490 in one equation. Obviously, 490 surpasses $400 so that means the equation including over time must be used. So. 490=15s+400 Subract 400. 90=15s. Divide. S=6. So adding the original 40 hours, to the 6 hours of overtime, we get the answer; 46 hours.