When you buy a car (in most cases) the value of the car decreases as it gets older. Suppose you bought a used car for $15,000 a few years ago, and its value has been decreasing at a rate of $2,000 per year since then. Time (yrs) Value ($) $15,000 $13,000 2 $11.000 3 $9,000 4 $7,000 $5,000 Decreasing Value of Car $16,000 $12,000 $8,000 $4,000 $0 a) Find the y- intercept and explain what it means. b) Find the slope of the line and explain what it means (including the sign). c) Estimate the value of the car after 42 months.

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 8E
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27. When you buy a car (in most cases) the value of the car decreases as it gets older.
Suppose you bought a used car for $15,000 a few years ago, and its value has been
decreasing at a rate of $2,000 per year since then.
Time
(yrs) Value ($)
$15,000
$13,000
2
$11.000
3
$9,000
4
$7,000
$5,000
Decreasing Value of Car
$16,000
$12,000
$8,000
$4,000
$0
a) Find the y- intercept and explain what it means.
b) Find the slope of the line and explain what it means (including the sign).
c) Estimate the value of the car after 42 months.
Transcribed Image Text:27. When you buy a car (in most cases) the value of the car decreases as it gets older. Suppose you bought a used car for $15,000 a few years ago, and its value has been decreasing at a rate of $2,000 per year since then. Time (yrs) Value ($) $15,000 $13,000 2 $11.000 3 $9,000 4 $7,000 $5,000 Decreasing Value of Car $16,000 $12,000 $8,000 $4,000 $0 a) Find the y- intercept and explain what it means. b) Find the slope of the line and explain what it means (including the sign). c) Estimate the value of the car after 42 months.
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