91Ó°ÊÓ

Ralph placed a classified ad to sell his used Honda Odyssey minivan for \(\$ 18,500 .\) After two weeks, he didn't sell the minivan, and the newspaper suggested lowering the price 5\(\%\) . What would the new price be if Ralph reduced it according to the suggestion?

The straight line depreciation equation for a car is \(y=-2,680 x+26,800 .\) a. How much is the car worth after 48 months? b. How much is the car worth after 75 months? c. Suppose that \(M\) represents the length of time in months when the car still has value. Write an algebraic expression to represent the value of this car after \(M\) months.

Elliot is saving to buy a used car next year on his 18th birthday. He plans on spending $6,000. How much must he save each week, if he plans to work the entire year with only two weeks off?

Megan has a friend at work who is selling a used Honda. The car has 60,000 miles on it. Megan comparison shops and finds these prices for the same car. $$\begin{array}{c}{\text { Price }} \\ \hline \$ 22,000 \\ {\$ 19,000} \\\ {\$ 18,000} \\ {\$ 16,700} \\ {\$ 15,900}\end{array}$$ a. Find the mean price of the 5 prices listed. b. How many of these cars are priced below the mean? c. Find the median price. d. How many of these cars are priced below the median?

Determine the distance covered by a car traveling 68 mi/h for each unit and time given. Round answers to the nearest unit. a. miles in one hour b. feet in one hour c. feet in one minute d. feet in one second

Lenny's car gets approximately 20 miles per gallon. He is planning a 750 -mile trip. a. About how many gallons of gas should Lenny plan to buy? b. At an average price of \(\$ 4.10\) per gallon, how much should Lenny expect to spend for gas?

Leslie has comprehensive insurance with a \(\$ 500\) deductible on her van. On Halloween her van is vandalized, and the damages total \(\$ 1,766\) . Leslie submits a claim to her insurance company. a. How much must Leslie pay for the repair? b. How much must the insurance company pay?

Francois' car gets about 11 kilometers per liter. She is planning a \(1,200\) -kilometer trip. a. About how many liters of gas should Francois plan to buy? Round your answer to the nearest liter. b. At average price of \(\$ 1.45\) per liter, how much should Francois expect to spend for gas?

Megan, from Exercise 8, decides to get more information about the cars she researched. The table has prices and mileages for the same used car. In addition to the statistics she has learned in this chapter, Megan decides to use her linear regression skills from Chapter 2 to see if there is a relationship between the prices and the mileage. She hopes to use this knowledge to negotiate with sellers. $$\begin{array}{|c|c|}\hline{\text { Mileage, } x} & {\text { Price, } y} \\\ \hline 21,000 & {\$ 22,000} \\ {30,000} & {\$ 19,000} \\ {40,000} & {\$ 18,000} \\ {51,000} & {\$ 16,700} \\ {55,000} & {\$ 15,900}\\\ \hline\end{array}$$ a. Enter the data into your calculator. Find the regression equation. Round to the nearest hundredth. b. Find the correlation coefficient r. Round to three decimal places. c. Is the regression equation a good predictor of price, given the mileage? Explain. d. The car Megan is considering has \(60,000\) miles on it and the price is \(\$ 19,000 .\) Discuss her negotiating strategy. Explain on what grounds she should try to get a lower price.

A local newspaper charges by the character for its classified ads. Letters, numbers, spaces, and punctuation each count as one character. They charge \(\$ 46\) for the first 200 characters and \(\$ 0.15\) for each additional character. a. If \(x\) represents the number of characters in the ad, express the cost \(c(x)\) of an ad as a piece wise function. b. Graph the function from part a. c. Find the coordinates of the cusp in the graph in part b.