## Precalculus (6th Edition) Blitzer

To express the revenue from a baseball game, R as a function of the ticket price during the year, we use: $R\left( x \right)=mx+b$.
Consider the provided statement “A baseball team plays in a large stadium and with a ticket price of $\$15$, the average attendance at recent games has been$20,000$. A market survey indicates that for each$\$1$ increase in the ticket price, attendance decreases by $400$.” With a ticket price of $\$15$, the average attendance at recent games has been$20,000$and the market survey indicates that for each$\$1$ increase in the ticket price, attendance decreases by $400$. Suppose x is the revenue from a baseball game. Then the revenue from a baseball game will be x times the number of spectators at a baseball game -- that is, $26,000-400x$. \begin{align} & R\left( x \right)=\left( 26,000-400x \right)x \\ & =26,000x-400{{x}^{2}} \\ & =-400{{x}^{2}}+26,000x \end{align} The linear function representing the number of spectators at a baseball game will be of the form $R\left( x \right)=mx+b$