Chapter 5 Automobile Ownership
1. Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or
underinsured driver.
2. A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4 hours.
3. A car traveling on asphalt makes a sudden stop. The drag factor of the road is 0.7 and the brakes are
operating at 90% efficiency. If the car leaves 4 distinct skid marks that are 60 feet long, then the car was
traveling about 37 miles per hour.
4. In the box-and-whisker plot below, 50% of the data is between 30 and 70.
5. Cars with ABS or anti-lock brakes do not leave skid marks.
6. The fee that a driver pays to have automobile insurance is called a deductible.
7. Victor found 5 cars online that he is going to go and see. The prices of the cars are: $5,000, $4,500, $5,500,
$3,999, and $4,999. The median car price is $4,799.60.
8. Pamela called 9 repair shops for quotes for auto repairs. The prices are $139, $150, $345, $99, $167, $155,
$140, $200, and $160. She calculates to find there are no outliers in the data.
9. Sarah bought a 7-year old car for $10,500. When the car was new, it sold for $21,000. Therefore, the
depreciation rate is 9.4%.
10. Yolanda wants to buy a fuel efficient car. She finds one that can travel 465 miles on one tank of gas. If the
gas tank holds 15 gallons, the car gets about 41 miles per gallon.
11. Mrs. Beluga is driving on a snow covered road with a drag factor of 0.2. She brakes suddenly for a deer.
The tires leave a yaw mark with a 52-foot chord and a middle ornate of 6 feet. What is the minimum speed she
could have been going?
12. Tonya wants to place an advertisement in a local newspaper to sell her car. This piecewise function shows
the cost of the advertisement given that x equals the number of lines.
If the advertisement she wants to place will be 7 lines, how much will the paper charge her?
13. Larry’s car is worth $18,000 after 5 years. When the car was new, it sold for $24,000. What is the
depreciation rate?
14. Marcia wants to get a new car stereo. She researches the cost with a variety of local car stereo installers and
places her findings in a stem-and-leaf plot.
9
5
8
9
9
10
4
7
8
11
0
0
5
9
12
0
0
0
5
13
0
9
14
0
10|7
=
$107
What is the median price?
15. Saheel has $20,000 property damage insurance and $5,000 comprehensive and collision insurance with a
$500 deductible. One evening he slides on a patch of ice and hits a parked car, causing $4,500 worth of damage.
The accident causes $1,750 of damage to his own car. How much will the insurance pay to fix both cars?
16. Tony shops around for a new muffler for his car and gets these estimates:
$145, $195, $150, $135, $169, $210, and $160. What are the four quartiles?
17. Cherie pays her car insurance monthly. Her annual premium is $984. Each month she is charged a $2
convenience fee. If her annual premium is divided equally into twelve month payments, how much is her
monthly insurance payment?
18. Nathan wants to buy a car that costs $25,920. He has $3,000 as a down payment, and his payments will be
$450 for 6 years. Through research he discovers that the value of the car will depreciate to a value of zero in 12
years. After how long will the expenses of the car be equal to the value of the car?
19. Craig is an accident reconstructionist. He arrives at an accident where there are 4 skid marks of different
lengths. He finds their measures to be 85 ft, 92 ft, 88 ft, and 90 ft. It is an asphalt road with a drag factor of 0.8.
Because he does not know the efficiency of the driver’s brakes, he assumes a brake efficiency of 80%. What is
the minimum speed the driver could have been going?
20. Jeanette buys decals for her car from every state she visits. She made a list of the prices: $0.99, $5.10,
$1.59, $1.99, $2.99, $0.80, $1.99, $1.99, $2.99, $1.59, $0.99, $3.49, $0.80. Find the mean.
21. Jackson bought his first car. He went to an insurance office to get car insurance. Which of these types of
insurance is the minimum required by law?
22. Gretchen has 50/100/50 liability insurance with a $500 deductible. While parked on the street, another car
hits hers and then leaves the scene. There was $2,350 worth of damage. How much of the cost will her
insurance pay?
23. Monte recorded the gas mileage, in miles per hour, of ten different cars he is considering buying: 34, 27, 30,
24, 28, 31, 42, 30, 29, and 19. Put the data in a stem-and-leaf plot.
1
9
2
4
7
8
9
3
0
0
1
4
4
2
3|4 =
34
24. A car that Sophia wants to buy costs $21,000. She does research and finds that after 14 years the car
depreciates to a value of zero. If the car depreciates in straight line form, write the straight line depreciation
equation.
25. The Jacksons are taking a trip to Florida. Mr. Jackson knows that it is about 945 miles to their destination in
Florida from their home in Ohio. He knows the average speed along his route will be 70 miles per hour. How
long is the drive?
26. Aaron just bought a used car from his cousin for $3,500. When he changes the title and gets license plates,
he is required to pay sales tax on the purchase price of the car. If the sales tax rate is 6 %, how much sales tax
does he pay?
27. Nina’s car exponentially depreciates at a rate of 7% per year. If Nina bought the car when it was 6-years old
for $12,000, what was the original price of the car?
28. At the beginning of the week, Miguel’s odometer reads 87,845. At the end of the week, his odometer reads
88,033. How many miles did Miguel travel that week?
29. Maria works for an online auto trader. She makes a piecewise function to show the cost to place an online
advertisement.
What is the cusp of the function?
(6, 39)
30. Don buys a car valued at $25,000. When the car was new, it sold for $32,000. If the car depreciates
exponentially at a rate of 7% per year, about how old is the car?