The value of a car depreciates exponentially. The table to the right shows its value as a function of the number of years since purchase. a. Write an equation for the value of the car (V) based on the number of the vears since it was purchased (t) b. Using a method of your choice, find the value of the car 4 years after it was purchased.

The value of a car depreciates exponentially. The table to the right shows its value as a function of the number of years since purchase. a. Write an equation for the value of the car (V) based on the number of the vears since it was purchased (t) b. Using a method of your choice, find the value of the car 4 years after it was purchased.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Write the equation of the graphed exponential function in the form f (x) = a(b)*

A: Given,

Q: The exponential function f(x)=abx contains the points (0,2) and (-3,54). Write the conditions as…

Q: Use the table to determine if the pattern of change is linear or exponential. If the change is…

A: Given: A table is given that shows the number of players in different rounds. To Find: One has to…

Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

Q: Make a table that represents an exponential relationship. X Process n eldst y

A: Let us consider the table :xProcess y1212222432384241652532n2n

Q: The table shows the monthly revenue of a business rising exponentially since it opened an online…

A: Question - b. Write an equation to represent the revenue, R, as a function of months, m, since the…

Q: purchased for 14900 dollars, where x is years and y is the value of the car in dollars. Write an…

Q: Identify the equation of best fit of an exponential curve. O y = abx_ O y = a + bx Oy=a+bx+cx² O…

A: Third one is correct

Q: Solve the following exponential equation for x. Write the answer as both an exact expression and as…

A: The given equation 4-x+10=676. We have to find a value of x.

Q: A country has a population of around 100 million people. It is estimated that the population will…

A: Given that , y=abt and a=100 find the value of b.

Q: With a and k set to 1, vary the b slider. Do exponential functions of the form y = b* have an…

A: Consider the exponential function y=bx. To determine whether the given exponential function has x…

Q: A town's population increases at a constant rate. In 2010 the population was 53,000. By 2012 the…

A: Given: Population in 2010 = 53,000. The population in 2012 = 78,000.Let the population…

Q: (logser log) %3D 2. the value of + Then fin of

Q: Does the table describe a linear or exponential fuction and do they change by equal differences or…

A: for linear model we observe that for a constant change in X we see a constant change in Y that is.…

Q: Which function has a greater rate of change, y = 2x or y = -4x

A: The given functions are:y=2x and y=-4x

Question

1. The value of a car depreciates exponentially. The table to the right shows its value as a function of the number of years since purchase. a. Write an equation for the value of the car (V) based on the number of the vears since it was purchased (t) b. Using a method of your choice, find the value of the car 4 years after it was purchased.

Years since
purchase
0
1
2
3
4
Value in
dollars
35,000
22,400
17,920

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The value V (in dollars) of an investment in year t is given by V = 2600(1.0375). Select all of the following which correctly describe the investment (more than one may be correct). OA. An initial investment of $2600 increases by 0.375% per year. OB. An initial investment of $2600 increases by 97.5 dollars every year. OC. An initial investment of $2600 increases by 0.0375% every year. OD. An initial investment of $2600 increases by 3.75% per year. O E. An initial investment of $2600 increases by 1.0375% per year. OF. None of the above
An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula B(x)=0.8*. How much will today's dollar be worth in 2 years? Round to the nearest cent. O A. $1.74 OB. $0.96 OC. $1.60 OD. $0.64
2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b = 0.86). Equation: Circle one: Linear or Exponential 3. The population of flying squirrels in Madagascar started with 3 and the population doubles each year. Equation: Circle one: Linear or Exponential 4. Penny has a stamp collection of 550 stamps. Penny is feeling generous and gives away7 stamps every week. Circle one: Linear or Exponential Equation: 5. The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each min of service. Write a function to model the relationship between the number of minutes of service each month. 6. Jenny bought a 2016 Ford F-150 for $25,000 which depreciates at a rate of 4.3% per year (b = 0.957). Write a function to model the relationship between time and value of the car. 7. Brian used the equation y = 3x + 7 that represents the new cucumber plant that he bought for his yard, where x represents the weeks since the cucumber plant was planted…
3. You have the information that the number of cases of influenza on Dec 31 (day 0) was 29 and on day 5 there were 32 cases. Define variables: t = time in days since Dec 31C = number of cases a. Assume this situation is linear. Write a formula for this situation. C=·t+29 c. Assume this situation is exponential. Write a formula for this situation. d. Use your exponential formula to determine when the number of cases will hit 128
An exponential function is given as 3 to the power x. Write the equation of the transformed function if the transformed function has horizontal asymtote as y = -1 and has y - intercept of 70.
Solve for x. -8+ log, (x+4)= - 6
For each table, state if the model is linear or exponential and write an equation.
2. a. Write an exponential equation of the form y = a(b)* that passes through the points (1, 6.4) and (4, 3.2768). Explain how you got your answer OR show your work. b. Identify the percent change that is modeled by your equation in part a. In other words, identify whether your equation represents a percent increase or decrease AND how much is that percent increase or decrease.
Graph the function
3. Caroline puts S400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
B. Deveney likes to take time off from playing to research rare cellular structures. Last summer, she discovered a previously unknown cell and created 5kg of a rare substance. After making some observations, she determined this new cell decays exponentially and has a half-life of 2 days. a. Write an equation that related the remaining amount of the rare molecule a(t) to time t. b. After how many days will Deveney have only -kg left? c. When she returns to the lab, her sample will be 30 days old. How much will be remaining?