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?
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.