Question

A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x) = −40x + 640, where x is the price, in dollars, of each ticket. The revenue R can be determined by multiplying the ticket price x by the number of tickets sold. Write a quadratic function R that correctly represents this model.

Answer 1

Answer: $R=-40x^2+640x$

Step-by-step explanation:

Given

No of tickets sold is $Q(x)=-40x+640$

Revenue is given by the number of tickets sold multiplied by the price of each ticket

$\Rightarrow R=Q(x)\cdot x\\\Rightarrow R=[-40x+640]x\\\Rightarrow R=-40x^2+640x$

Thus, revenue is given by the above obtained quadratic equation.