Deck 4: Automobile Ownership

Question 1

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?

A) 13.3 mph
B) 23.6 mph
C) 30.2 mph
D) 46.3 mph

Answer 1

13.3 mph

Question 2

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?

A) 2 years
B) 3 years
C) 4 years
D) 5 years

Answer 2

3 years

Question 3

Pamela called nine 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.

Answer 3

False

Question 4

Tonya wants to place an advertisement in a local newspaper to sell her car.This piecewise function shows in 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?

A) $32.50
B) $29.00
C) $26.50
D) $22.00

Question 5

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?

A) $5,750
B) $6,250
C) $8,250
D) $24,500

Question 6

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.

Question 7

Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver.

Question 8

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%.

Question 9

Cars with ABS or anti-lock brakes do not leave skid marks.

Question 10

Victor found 5 cars online that he will go to 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.

Question 11

In the box-and-whisker plot below,50% of the data is between 30 and 70.
​

Question 12

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.

Question 13

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 monthly payments,how much is her monthly insurance payment?

A) $94
B) $92
C) $84
D) $82

Question 14

The fee that a driver pays to have automobile insurance is called a deductible.

Question 15

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?

A) 31.6 mph
B) 38.2 mph
C) 41.3 mph
D) 46.2 mph

Question 16

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,and $0.80.Find the mean.

A) $2.10
B) $1.99
C) $0.99
D) $0.80

Question 17

A car traveling at an average rate of 60 miles per hour will drive 270 miles in hours.

Question 18

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?

A) 0.5%
B) 0.6%
C) 5.6%
D) 6.9%

Question 19

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. What is the median price?

A) $110
B) $115
C) $119
D) $120

Question 20

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?

A) Q₁₌$145,Q₂=$160,Q₃=$195,Q₄=$210
B) Q₁₌$135,Q₂=$145,Q₃=$195,Q₄=$210
C) Q₁₌$145,Q₂=$150,Q₃=$169,Q₄=$210
D) Q₁₌$135,Q₂=$160,Q₃=$195,Q₄=$210

Question 21

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 %,how much sales tax does he pay?

Question 22

Guy is being transferred from his home in Cincinnati,Ohio,to Sedona,Arizona.Google Maps tells him the driving distance is 1,725 miles.Guy's research tells him that the speed limits will vary from 50 mi/hr to 75 mi/hr.If he is able to drive at a speed that is an average of these rates,how long will he be driving? Express your answer in hours and minutes.His company is paying for his moving expenses at a rate of $0.54/mile plus $50.00 per hour of driving time.How much will Guy's company pay him for moving expenses?

Question 23

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?

Question 24

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?

Question 25

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?

Question 26

Betsy has $15,000 worth of property damage insurance and $11,000 comprehensive and collision insurance with a $1,000 deductible.She had a tire blowout while driving and crashed into another vehicle before hitting a $5,540 fire hydrant.The accident caused $13,100 of damage to her car and $25,000 worth of damage to the other vehicle.How much of the damages will Betsy have to pay?

Question 27

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?

Question 28

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.

Question 29

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?

Question 30

Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses.When he started his trip,the odometer read 26,645.When he returned home,the odometer read 28,017.Zach's car gets about 48 miles per gallon.If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip,what price did Zach pay per gallon?

Question 31

Benjamin currently pays $1,080 for his annual car insurance premium.He is in the Marines and will be deployed for the next 9 months.Since his car will be used much less,there is less risk for the insurance company and it offers him a 66% discount for his annual premium while on deployment.What is the amount he must save each month while on deployment to be able to pay for the discounted premium? When Benjamin returns,his premium will revert to the amount prior to deployment.What will his total premium for the year be?

Question 32

Djenabah has an insurance policy that requires her vehicle to be properly maintained.If she is in an accident,the insurance company will only pay if the brake efficiency is over 60%.Unfortunately,Djenabah was in an accident.She was driving at a speed of 32 mph on a road that had a drag factor of 0.81.The insurance company's investigator measured three skid mark lengths of 70 ft,72 ft,and 74 ft.Will the insurance company pay Djenabah's claim?

Question 33

How many feet and inches does a car traveling at 48 miles per hour cover in one second?

Question 34

Lawrence recently purchased a new car for $32,000.His research through Kelly Blue Book gave him a straight-line depreciation model of y = −3,500x + 32,000.He hopes to sell the car after its value has decreased by 40%.Lawrence's car payment is $630 per month for 60 months.How many months will it take before he tries to sell his car? If he is successful in selling the car for his goal price,what will the cost of the car have been per month after he pays off his loan?

Question 35

Monte recorded the gas mileage,in miles per hour,of ten 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.

Question 36

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?

A) Uninsured motorist protection
B) Bodily injury liability
C) Comprehensive insurance
D) Collision insurance

Question 37

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?

Question 38

Kenya is driving on the highway at a speed of 75 mph.She sees an accident about 500 feet ahead and must come to a complete stop.Should Kenya swerve to avoid a collision with the accident ahead?

Question 39

The ratio of driving accidents that occur in Ohio while texting to those that are not a result of distracted driving is 7:2.If there were 972 accidents on Ohio roads,how many of them were due to texting?