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Ch 4 Part 2 review- fusi

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Last updated 2 days ago
27 questions
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The straight line depreciation equation for a car is y = -2,500x + 30,000.
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Kathy purchased a new car for $33,200. From her research she has determined that is straight line depreciates over 10 years. She made a $5,000 down payment and pays $480 per month for her loan.
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Question 7
7.

Jerome purchased a car for $23,400 six years ago. It depreciated at an exponential rate of 5.9% per year. What is its worth now? Round to the nearest hundred dollars.

Question 8
8.

Jonathan’s car gets approximately 28 miles per gallon. He is planning a 560-mile trip. About how many gallons of gas will his car use for the trip?

Question 9
9.

Richie was driving on an asphalt road with a 45 mi/h speed limit. A bicyclist veered into his lane, causing him to slam on his brakes. His tires left three skid marks of 69 ft, 70 ft, and 74 ft. The road had a drag factor of 1.2. His brakes were operating at 80% efficiency. The police gave Richie a ticket for speeding. Richie insisted that he was driving under the speed limit. Who is correct?

The straight line depreciation equation for a car is y = -2,400x + 36,000.
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Question 13
13.

The historical prices of a car with the same make, model, and features are recorded for a period of 10 years in the table below.

determine the exponential appreciation formula using desmos.

Question 14
14.

Jerome just purchased a 4-year-old car for $15,000. He was told that this make and model depreciates exponentially at 6.5% per year. What was the original price to the nearest hundred dollars?

Question 15
15.

The Jacksons are taking a trip to Miami, Florida. Mr. Jackson knows that it is about 1,608 miles to their destination Florida from their home in San Antonio, Texas. He knows the average speed along his route will be 70 miles per hour. How long is the drive? (Round to the nearest hour)

Question 16
16.

You're traveling 35 mi/h when you see two young children crossing the street. What is your reaction distance?

Question 17
17.

What is the approximate braking distance for a car traveling 55 mi/h?

Question 18
18.

Dustin is driving 45 mi/h on his way to work. He sees a dog 180 feet away. What will be his total stopping distance?

Question 19
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Brittany is planning a 670 mile trip to Arizona State. Her car averages about 28 mpg. If fuel costs an average of $4.99 per gallon, how much will she need to complete his trip?

Question 20
20.

Marcus is traveling in Europe and notices gasoline costs 2.14 euros per liter. What is the equivalent cost in U.S. dollars per liter if the exchange rate is: 1 USD=0.92 EUR
Round your answer to the nearest cent.

Question 21
21.

Using Marcus question above, what is the rate per gallon? 1 gallon=3.8 liters

Question 22
22.

Emily’s SUV gets approximately 28 miles per gallon. She is planning a 840-mile road trip. About how many gallons of gas will her SUV use for the trip?

Question 23
23.

The following a and b values were obtained from an exponential regression analysis of a used vehicle’s value over time.
a=34, ⁣562.18 b=0.884317521
What is the annual depreciation percentage for this car? Round your answer to the nearest percent.

Question 24
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Maria’s SUV left four skid marks on the highway after she applied the brakes suddenly. The skid marks measured 62 ft, 58 ft, 65 ft, and 61 ft.
What skid distance will be used in the speed formula, rounded to the nearest tenth?

Question 25
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Jordan was traveling at 52 mi/h on an asphalt road with a drag factor of 0.72. His brakes were operating at 88% efficiency. To the nearest tenth of a foot, what would you expect the average length of the skid marks to be if he applied his brakes to come to an immediate stop?

Question 26
26.

Liam used his truck for work during a weekend trip. His odometer read 58,412 when he started driving and 58,964 when he finished the trip. Liam’s truck gets approximately 24 miles per gallon. If he spent $87.32 on gasoline during the trip, what was the price of one gallon of gas? Round your answer to the nearest cent.

Question 27
27.

A crash reconstruction specialist is investigating an accident where a dirt bike struck a curb and the rider was thrown from the motorcycle. Evidence at the scene showed the rider landed 48 feet horizontally from the point where he left the dirt bike. Investigators estimated that the rider was launched from a height of 4.8 feet above the ground.
How long was the rider in the air?

Question 1
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What is the original price of the car?

Question 2
2.

How much value does the car lose per year?

Question 3
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How many years will it take for the car to totally depreciate?

Question 4
4.

Create an expense function

Question 5
5.

Create a depreciation function.

Question 6
6.

How many years will both expenses and the car's value be the same? round to the nearest tenth. (Use Desmos or algebra)

Question 10
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What is the original price of the car?

Question 11
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How much value does the car lose per year?

Question 12
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How many years will it take for the car to totally depreciate?