50 points for the right answer

Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table below shows the value of the truck after the first and second years:


Year 1 2
Value (in dollars) 26,522 23,604.58


Which function best represents the value of the truck after t years?
f(t) = 29,800(0.89)t
f(t) = 26,522(0.89)t
f(t) = 29,800(0.11)t
f(t) = 26,522(0.11)t

Respuesta :

Only the first equation gives results that match the table of values.

... f(t) = 29800ยท0.89^t

Answer:

A) f(t) = 29,800(0.89)^t

Step-by-step explanation:

The truck value decreases by 11% each year.

The present value of the truck was $29,800.

29,800 x 0.11 = 3,728 dollars lost from value.

29,800 - 3,728 = 26,522, the value of the truck after one year.

26,522 x 0.11 = 2,917.42 cash lost from value.

26,522 - 3,728 = 23,604.58, the value of the truck after two years.

Therefore, the answer is A) f(t) = 29,800(0.89)^t.