Determine a relationship between the x- and y-values. Write an equation. x −4 −3 −2 −1 y −1 0 1 2

x-and-y-values

#1

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.