Respuesta :

Car value at the time of purchase $15, 250 (2012)
Rate of depreciation 7.5%
1) y = 15250 ( 1- 0.075)^x
y = 15250 (0.925)^x (x tis the number of years that passed since purchase)

2)  y = 15250 * ( 0.925)^8 = 8173.42
a: the initial price of the used car
b: decreasing percent (decay ratio in decimal)
x: number of years
y: the value of car at a given year
[tex]y=a(1-b)^x\\~\\~\\y=15250(1-0.075)^x\\~\\~\\y=15250(0.925)^x[/tex]


That is for part 1


Part 2:
after 8 years
plug in x=8 into the equation that we've just formed
[tex]y=15250(0.925)^8[/tex]

and do you math...


I hope that helps!

I am with you if you faced any difficulties!