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

Question

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

undeadknight26 · Answer

I think it is D.

undeadknight26 · Answer

what do you think @DDCamp ?

ddcamp · Answer

29800*x^1 = 26522
Once you know x, you have the value in the parentheses.

Once you know that, you have to choose whether the first number is 29800 or 26522. The right value is the value when t=0.

undeadknight26 · Answer

so that means its not D...so that means its B...because the base of it is 26522 right?

ddcamp · Answer

The value is 26522 after 1 year. After 0 years (when t=0), we want the answer to be 29800, so the right answer would be A.