b. Suppose the initial value of your car is $23, 500. Write an equation expressing the trade-in value of your car as a function of the number of years from now. VAnswer (b): y = 23500(0.8)* c. How much will your car be worth in four years? OHint (c): d. What is the average rate of change in the value of your car during the first four years? Explain what the average rate of change means in this context. OHint (d): e. In how many years will the trade-in value of your car be $6000? A Step (e): Solve: 6000 = 23500(0.8)* OMore Help (e): f. If your car is really 2.7 years old now, what was its value when it was new? SOHint (f):

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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Do letter e and f please
OHint (a):
b. Suppose the initial value of your car is $23, 500. Write an equation expressing the trade-in value of your car as a
function of the number of years from now.
VAnswer (b):
y =
23500(0.8)*
c. How much will your car be worth in four years?
OHint (c):
d. What is the average rate of change in the value of your car during the first four years? Explain what the average rate of
change means in this context.
OHint (d):
e. In how many years will the trade-in value of your car be $6000?
Step (e):
Solve: 6000 =
OMore Help (e):
f. If your car is really 2.7 years old now, what was its value when it was new?
OHint (f):
© 2019 CPM Educational Program. All rights reserved.
acer
Transcribed Image Text:OHint (a): b. Suppose the initial value of your car is $23, 500. Write an equation expressing the trade-in value of your car as a function of the number of years from now. VAnswer (b): y = 23500(0.8)* c. How much will your car be worth in four years? OHint (c): d. What is the average rate of change in the value of your car during the first four years? Explain what the average rate of change means in this context. OHint (d): e. In how many years will the trade-in value of your car be $6000? Step (e): Solve: 6000 = OMore Help (e): f. If your car is really 2.7 years old now, what was its value when it was new? OHint (f): © 2019 CPM Educational Program. All rights reserved. acer
ne > INT3 > Chapter 7 > Lesson 7.1.4 > Problem 7-43
7-43.
A rule-of-thumb used by car dealers is that the trade-in value of a car decreases by 20% each year.
a. Explain how the phrase "decreases by 20% each year" tells you that the trade-in value decreases exponentially with
time (i.e., can be represented by an exponential function).
OHint (a):
b. Suppose the initial value of your car is $23, 500. Write an equation expressing the trade-in value of your car as a
function of the number of years from now.
MAnswer (b):
y = 23500(0.8)*
c. How much will your car be worth in four years?
OHint (c):
d. What is the average rate of change in the value of your car during the first four years? Explain what the average rate of
change means in this context.
OHint (d):
e. In how many years will the trade-in value of your car be $6000?
Step (e):
Solve: 6000 = 23500(0.8)"
SOMore Help (e):
f. If your car is really 2.7 years old now, what was its value when it was new?
Transcribed Image Text:ne > INT3 > Chapter 7 > Lesson 7.1.4 > Problem 7-43 7-43. A rule-of-thumb used by car dealers is that the trade-in value of a car decreases by 20% each year. a. Explain how the phrase "decreases by 20% each year" tells you that the trade-in value decreases exponentially with time (i.e., can be represented by an exponential function). OHint (a): b. Suppose the initial value of your car is $23, 500. Write an equation expressing the trade-in value of your car as a function of the number of years from now. MAnswer (b): y = 23500(0.8)* c. How much will your car be worth in four years? OHint (c): d. What is the average rate of change in the value of your car during the first four years? Explain what the average rate of change means in this context. OHint (d): e. In how many years will the trade-in value of your car be $6000? Step (e): Solve: 6000 = 23500(0.8)" SOMore Help (e): f. If your car is really 2.7 years old now, what was its value when it was new?
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