Mitchell purchased a car in 2008 for $25,980. The function y 25,980(0.88y represents the depreciated value of the car after t years since 2008. What is the approximate value of the car in 2012?

Step-by-step explanation:

we know that

The exponential decay function that represent the depreciated value of the car is given by

where

y is the depreciated value of the car

t is the number of years since 2008

What is the approximate value of the car in 2012?

Find the value of t

substitute in the equation

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.