A computer purchased for $1,650 loses 19% of its value every year.

Question

The computer's value can be modeled by the function v(t)=a⋅bt, where v is the dollar value and t the number of years since purchase.

(A) In the exponential model a=____ and b=____ .

(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place.

The answer is ______ years

Answer 1

 computer purchased for $1,650 loses 19% of its value every year.

The computer's value can be modeled by the function v(t)=a⋅bt, where v is the dollar value and t the number of years since purchase.

(A) In the exponential model a=_1650 ___ and b=_(1 - .19)= .81___ .

(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place.

825 = 1650 (.81)^t

1/2 = (.81)^t

log .5 = log (.81)^t

log .5 = t * log (.81)

t = (log .5) / (log .81)

t = 3.289406739480

The answer is __3.3____ years