Question

A bicycle store costs ​$2450 per month to operate. The store pays an average of ​$60 per bike. The average selling price of each bicycle is ​$130. How many bicycles must the store sell each month to break​ even?

Answer 1

Think about what the question is asking... When does that cost reach 0?

`f(x) =4500 -120x + 60x \\`

Solve for when f(x) = 0

`0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75`

The store breaks even when it sells 75 bikes.

Hope this helps!

:)