Question

someone actually help :((( need to finish exam before 12 !!
f(x)=17,000(0.87)x

The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.

x| 0| 1| 2| 3| 4| 5|
g(x)| 21,000| 18,690| 16,634.10| 14,804.35| 13,175.87| 11,726.52|

How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent.

Answer 1

Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.

The exponential function for the value of the SUV, after x years, is given by:

$f(x) = 17000(0.87)^x$

Hence, after 5 years, the value is:

$f(5) = 17000(0.87)^5 = 8473.16$

From the table, after 5 years, the car is worth $11,726.52.

11726.52 - 8473.16 = 3253.36.

The SUV is worth $3,253.36 less than the car after 5 years.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065