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Problem 5

The straight line depreciation equation for a luxury car is \(y=-3,400 x+85,000\) . a. What is the original price of the car? b. How much value does the car lose per year? c. How many years will it take for the car to totally depreciate?

Problem 5

Five Smithtown High School students are saving up to buy their fi rst cars. They all have after-school jobs, and their weekly salaries are listed in the table. $$ \begin{array}{ll}{\text { Emily }} & {\$ 110} \\ {\text { Sam }} & {\$ 145} \\\ {\text { Danielle }} & {\$ 130} \\ {\text { Katie }} & {\$ 160} \\\ {\text { Stephanie }} & {\$ 400}\end{array} $$ a. What is the mean weekly salary for these students? b. What is the median salary? c. Whose salary would you consider to be an outlier? d. Which number do you think is better representative of the data, the mean or the median? e. Explain your answer to part d.

Problem 6

The straight line depreciation equation for a motorcycle is \(y=-2,150 x+17,200\) . a. What is the original price of the motorcycle? b. How much value does the motorcycle lose per year? c. How many years will it take for the motorcycle to totally depreciate?

Problem 6

Gary Lieberman has \(\$ 10,000\) worth of property damage insurance. He collides with two parked cars and causes \(\$ 12,000\) worth of damage. How much money must Gary pay after the insurance company pays its share?

Problem 6

Samantha purchased a used car for \(\$ 4,200 .\) Her state charges 4\(\%\) tax for the car, \(\$ 47\) for license plates, and \(\$ 35\) for a state safety and emissions inspection. How much does Samantha need to pay for these extra charges, not including the price of the car?

Problem 6

Lisa purchased a used car for \(D\) dollars. The car depreciates exponentially at a rate of \(E \%\) per year. Write an expression for the value of the car in 5 years, in \(A\) years, and in \(M\) months.

Problem 7

Craig Rosenberg has a personal injury protection policy that covers each person in, on, around, or under his car for medical expenses as a result of an accident. Each person can collect up to \(\$ 50,000\) . Craig is involved in an accident and three people are hurt. One person has \(\$ 23,000\) of medical expenses, one person has \(\$ 500\) worth of medical expenses, and Craig himself has medical expenses totaling \(\$ 70,000\) . How much money must the insurance company pay out for these three people?

Problem 7

Michael used his car for business last weekend. When he reports the exact number of miles he traveled, the company will pay him 52 cents for each mile. At the beginning of the weekend, the odometer in Michael’s car read 74,902.6 miles. At the end of the weekend, it read 75,421.1 miles. a. How many miles did Michael drive during the weekend? b. How much money should his company pay him for the driving?

Problem 7

The straight line depreciation equation for a car is \(y=-2,750 x+22,000\) a. What is the car worth after 5 years? b. What is the car worth after 8 years? c. Suppose that \(A\) represents a length of time in years when the car still has value. Write an algeraic expression to represent the value of the car atter \(A\) years.

Problem 7

Dan’s parents are going to pay for half of his car if he gets a 90 aver- age in math for all four marking periods and the fi nal exam. Here are his grades for the first four quarters: 91, 82, 90, and 89. What grade does he need on his fi nal exam to have a 90 average?

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