The value in dollars, v(x), of a certain truck after x years is represented by the equation

Question

P(x) = 32,500(0.92)*. To the nearest dollar, how much more is the truck worth after 2 years than
after 3 years?

25,307

27,508

7,193

2,201

Answer 1

To find out how much more the truck is worth after 2 years than after 3 years, we need to evaluate v(2) - v(3).

v(2) = 32,500 * (0.92)^2
v(2) = 32,500 * 0.8464
v(2) = 27,520

v(3) = 32,500 * (0.92)^3
v(3) = 32,500 * 0.77868
v(3) = 25,307

Now, find the difference:
27,520 - 25,307 = 2,213

Therefore, the truck is worth $2,213 more after 2 years than after 3 years.

The closest answer option is 2,201.