The accompanying table shows the value of a car over time that was purchased for 16300 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine how long it will be, to the nearest tenth of a year, until the car's value is 2800 dollars.
years(x) 0,1,2,3,4
value in dollars(y) 16300,14940,13082,11404,10431​