Question

The owner of a resale shop is analyzing the revenue for the year. Profit is modeled by the function p(x) = x² – 14x + 485, where p(x) represents profit and x represents the number of items sold. How many items must he sell in order for his profit to be $605?

Answer 1

20

Explanation:

We first plug in 605 for p(x)

`605 = {x}^(2) - 14x + 485`

We then equal equation to zero

`{x}^(2) - 14x + 485 - 605 = 0`

Factor

`(x + 6)(x - 20)`

Set each factor equal to zero and solve

x = -6

x = 20

We then select the positive answer because we can't sell negative items.