What Do You MEAN?
This number describes the average of a data set.
The mean
This term describes a person who is at fault in an accident.
Negligent
What form does a straight-line depreciation function take?
y = mx + b
What form does the function of an exponential depreciation equation take?
y = A(1 - r)x
What is the distance formula, with respect to driving?
Distance = (Rate)(Time)
Find the median of the following set of numbers:
11, 13, 15, 17, 19, 21
16
This type of insurance covers damages to other people's things.
Property Damage Liability Insurance
The slope of a straight-line depreciation equation will always be _________.
Negative
Martin purchased a car for $40,000 that exponentially depreciates at a rate of 8.5% per year. Write the exponential depreciation function that models this situation.
y = 40000(1 - 0.085)x
OR
y = 40000(0.915)x
What is the reaction distance for a person traveling 65 mph? Use the rule of thumb.
65 feet
Find the mode(s) of the following data set:
12, 12, 13, 14, 14, 14, 15, 16, 18, 18, 22
14
Keith has $25,000 worth of property damage liability insurance and $50,000 worth of collision insurance with a $500 deductible. He accidentally pressed the gas instead of the brake at a red light, causing him to rear-end the vehicle in front of him. He caused $4,000 worth of damage to a Chevy truck, and $2,000 to his car.
How much will Keith need to pay for this accident?
$500
Suppose you purchase a car for $20,000. According to your online research, this make and model loses all of its marketable value after 15 years. What are the intercepts of the depreciation equation?
(0, 20000) and (15, 0)
Ursula's new car sold for $28,000. This car depreciates exponentially at a rate of 5.25% per year. How much will Ursula's car be worth after 2 years? Round your answer to the nearest cent.
$25,137.18
Janelle has a hybrid car that averages 40 miles per gallon. Her car has a 15-gallon tank. How far can she travel on half a tank of gas?
300 miles
Find the interquartile range for the following data set:
8, 10, 14, 20, 32
17
Janet has a personal injury protection policy that covers each person in, on, around, or under her car for medical expenses. Each person can collect up to $50,000. Janet is involved in an accident and three people are hurt. One person has $23,000 of medical expenses, one person has $21,000 of medical expenses, and Janet herself has medical expenses totaling $65,000. How much money must the insurance company pay out for these three people?
$94,000
Suppose you purchase a car for $20,000. According to your online research, this make and model loses all of its marketable value after 16 years. What is the slope of the depreciation equation? Round your answer to the nearest hundredth.
-$1250 per year
Paul's car is 5 years old and currently worth $9,000. If his car exponentially depreciates at a rate of 15%, how much was his car worth when it was new? Round your answer to the nearest cent.
$20,283.73
What is the total stopping distance for a driver with an average reaction time and who is traveling at 20 mph?
40 feet
Determine the outliers, if any exist, for the following data set:
8, 10, 14, 20, 32
There are no outliers
Victor has 100/300/50 liability insurance and $50,000 PIP insurance. He drives through a stop sign and seriously injures 5 people in an SUV. The driver of the SUV was a well-known actor who is unable to work due to his injuries. He sues Victor for $50,000,000 and is awarded that money in court. What type of insurance covers this and how much will the insurance company pay?
Bodily Injury Liability; $100,000
The straight line depreciation equation for a car is
y = -5000x + 26000.
How much will the car be worth after 5 years?
$1,000
What is the exponential depreciation rate, expressed as a percent, for a car that originally sells for $52,000 when new but exponentially depreciates to $45,000 after 36 months? Round your answer to the nearest tenth.
4.7%
Nathan is driving in Canada at a speed of 80 kmph. He spots a stalled car in his lane approximately 50 meters ahead. Will he be able to stop in time? (Provide his stopping distance to support your answer.)
No, his total stopping distance is approximately 53.6 meters, so he will not be able to stop in time.