**Determine a relationship between the x- and y-values. Write an**

**equation.**

x −4 −3 −2 −1

y −1 0 1 2

**Answer:**

Suppose that when the demand is 0, the price charged is $75. And, when

the demand is 25, the price charged is $0.

(a) Assume that the price and demand follow a linear relationship. Find a linear

function p(x) which gives the price charged when the demand is x.

(b) The revenue function is R(x) = x · p(x). For what value of x is the revenue

maximized? Justify your answer.