A profit, P(X), for a certain item is a function relating the income from sales,S(X), and the cost of the item,C(X), The function is stated by the equation shown, where x is the number of items sold.

Question

P(X) = S(X) - C(X)

When S(X) = 0.5x and C(X) = 10 + 0.1x, the range of P(X) contains the elements {350,470,590}. Which set of elements represents the corresponding domain?

A) {130,178,226}

B) {200,272,290}

C) {600,800,1000}

D) {900,1200,1500}

Answer 1

P(x) = .4x-10
so, P(x)=350 when x=900
Looks like D is the likely answer