Concept explainers
Modeling Data The table lists the approximate values V of a mid-sized sedan for the years 2010 through 2016.The variable t represents the time (in years), with
t |
10 |
11 |
12 |
13 |
V |
$23,046 |
$20,596 |
$18,851 |
$17,001 |
t |
14 |
15 |
16 |
|
V |
$15,226 |
$14,101 |
$12,841 |
(a) Use the regression capabilities of a graphing utility to fit linear and quadratic models to the data. Plot the data and graph the models.
(b) What does the slope represent in the linear model in part (a)?
(c) Use the regression capabilities of a graphing utility to fit an exponential model to the data.
(d) Determine the horizontal asymptote of the exponential model found in part (c). Interpret its meaning in the context of the problem.
(e) Use the exponential model to find the rates of decrease in the value of the sedan when
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Calculus (MindTap Course List)