Write a linear equation that models the value of the automobile in terms of the year x.?

Question

The average value of a certain type of automobile was $15,780 in 1992 and depreciated to $6720 in 1996. Let y be the average value of the automobile in the year x, where x = 0 represent 1992.

Answer 1

The automobile value dropped by (15780 - 6720) = 9060 dollars over four years for an average of 2265 lost per year. So your linear equation would be

Y = 15870 - 2265 X

where Y is the current value of the car and
x is the number of years that passed since 1992
(that is, X = Y - 1992 where Y is the current year)