event. It receives $28,000 in donations and $225 for each ticket sold for the event. What equation models the total amount earned from the event as a function of the number of tickets sold?

A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the average attendance has been 21000. When the price dropped to $6, the average attendance rose to 25000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? s

A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.

The owner of a local hair salon is planning to raise the price for a haircut and blow dry. The current rate is $30 for this service, with the salon averaging 550 clients a month. A survey indicates that the salon will lose 5 clients for every incremenetal price increase of $2.50. a. Write an equation to model the salon’s monthly revenue, R, in dollars, as a function of x, where x represents the number of $2.50 increases in price. b. Use the product rule to determine R’(x). c. Solve for R’(x) = 0.