A toll bridge charges $1.00 for passenger cars and $2.50 for other vehicles. Suppose that during daytime hours, 60% of all vehicles are passenger cars. If 20 vehicles cross the bridge during a particular daytime period, what is the resulting expected toll revenue? [Hint: Let X = the number of passenger cars; then the toll revenue h(X) is a linear function of X.]

K The manufacturer's suggested retail price (MSRP) for a particular car is $25,275, and it is expected to be worth $14,427 in 4 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 5 years from now. (c) At what rate is the car depreciating? (a) What is the linear depreciation function for this car? f(x) = (Simplify your answer. Do not include the $ symbol in your answer.) (b) What is the estimated value of the car 5 years from now? (c) At what rate is the car depreciating? The car is decreasing in value an average of $ a year.

A concert will be held at the end of April. Past experience indicates when tickets are priced at $70, the average attendance is 1400 people. Each $1 increase in price results in 14 fewer people attending. Let x represent the price of a concert ticket. (A) Determine a formula for the linear function, A(x), representing the quantity of tickets sold at a price x dollars. (B) Determine a simplified formula for the revenue function, (p A)(x), where p(x)=x is the price function and A(x) is the linear function from part (A). (C) Determine the maximum revenue ALGEBRAICALLY (no graphing). What should the venue charge for a ticket to maximize revenue? Include units with your answer.

If a piece of property is depreciated linearly over a period of n years, then its value y dollars at the end of x years is given by: y=c[1-x/n] where c dollars is the original value of the property. An apartment building built in 1975 and originally worth $400,000 is being depreciated linearly over a period of forty years. Sketch a graph showing the value y dollars of the apartment building x years after it was built and determine its value in the year 2000. What is the slope of this line and what does it represent? .