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) 40 30 (1,24,000) 20 10 0.5 1 decades since purchase Expand Image 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

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 29PPS
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4.
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)
40
30
(1,24,000)
20
0.5
1
decades since purchase
Expand Image
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:4. 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) 40 30 (1,24,000) 20 0.5 1 decades since purchase Expand Image 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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