The straight line depreciation equation for a car is y = -2,500x + 30,000.
What is the original price of the car?
How much value does the car lose per year?
How many years will it take for the car to totally depreciate?
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.
Create an expense function
Create a depreciation function.
How many years will both expenses and the car's value be the same? round to the nearest tenth. (Use Desmos or algebra)
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.
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?
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.
What is the original price of the car?
How much value does the car lose per year?
How many years will it take for the car to totally depreciate?
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.
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?
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)
You're traveling 35 mi/h when you see two young children crossing the street. What is your reaction distance?
What is the approximate braking distance for a car traveling 55 mi/h?
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?
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?
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.
Using Marcus question above, what is the rate per gallon? 1 gallon=3.8 liters
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?
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.
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?
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?
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.
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?
