Doug bought a new car for $25,000. he estimates his car will depreciate, or lose value, at a rate of 20% per year. the value of his car is modeled by the equation v = p(1 – r)t, where v is the value of the car, p is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. according to the model, what will be the approximate value of his car after 4 1/2 years?
$2,500
$9,159
$22,827
$23,802

After 4 1/2 years the car's value will be $ 9,159.

Given that Doug bought a new car for $ 25,000, and he estimates his car will depreciate, or lose value, at a rate of 20% per year, to determine what will be the approximate value of his car after 4 1/2 years he has to perform the following calculation:

Therefore, after 4 1/2 years the car's value will be $ 9,159.

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the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

boxplot e is the answer