Question

at work Marlena has to sell a minimum of 50 books a week. When she sells more than 50 books she earns a bonus of 50 cent per book. This week her bonus was 35.50$. Which equation and value for y can be used to find out how many books Marlena sold

Answer 1

a) Equation Y=0.50(x-50)

b) Marlena sold 121 books

Explanation:

Each book Marlena sells above 50 she earns $0.50 of bonus. If she sells less, no bonus is earned, so if x is the number of books sold and y is the amount of the bonus earned:

y = 0.50 ( x - 50 ) x > 50

If we know she earned a bonus of y = 35.50, we must calculate x from the above equation:

35.50 = 0.50 ( x - 50 )

x - 50 = 35.50 / 0.50 = 71

x = 50 + 71 = 121 books

Marlena sold 121 books