1. Express the car's value, in dollars, as a function of time d, in decades, since purchase. 2. Write an expression to represent the car's value 4 years after purchase. 3. By what factor is the value of the car changing each year? Show your reasoning.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.8: Analyzing Functions With Successive Differences
Problem 34HP
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The value of a truck decreases exponentially since its purchase. The two points on the
graph shows the truck's initial value and its value a decade afterward.
50
(0, 40,000)
30
(1,24,000)
20
10
0.5
decades since purchase
1. Express the car's value, in dollars, as a function of time d, in decades, since purchase.
2. Write an expression to represent the car's value 4 years after purchase.
3. By what factor is the value of the car changing each year? Show your reasoning.
value in thousands of dollars
Transcribed Image Text:The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck's initial value and its value a decade afterward. 50 (0, 40,000) 30 (1,24,000) 20 10 0.5 decades since purchase 1. Express the car's value, in dollars, as a function of time d, in decades, since purchase. 2. Write an expression to represent the car's value 4 years after purchase. 3. By what factor is the value of the car changing each year? Show your reasoning. value in thousands of dollars
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