The value of the car to the nearest cent, after 9 years is; 4891 cents
<h3>How to solve exponential regression equations?</h3>
The exponential regression equation will be given as;
y = A₀e^(kx)
Where;
A₀ is the coefficient of exponential regression.
k is the constant.
For x = 0, the value of y will be $ 14100. Then we have;
18200 = A₀e^(k * 0)
Thus; A₀ = 18200
Thus, the exponential regression equation is;
y = 18200e^(kx)
For x = 1, the value of y will be $15728. Then we have;
15728 = 18200e^(k * 1)
Thus; k = -0.146
The equation is now;
y = 18200e^(-0.146x)
Then after 9 years, the value of a car will be
y(9) = 18200e^(-0.146 * 9)
y(9) = 4891
Read more about Exponential Regression equations at; brainly.com/question/9302810
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