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

Answer:

20

Step-by-step 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.