Question

A buisness purchases a computer I
system for $3,000. The value
of the system decreases at a rate
of 15% per year. Which expotential
function models this situation.

Answer 1

Answer:

$V(y) = 3000(0.85)^{y}$

Step-by-step explanation:

A business purchases a computer I  system for $3,000. The value  of the system decreases at a rate  of 15% per year.

Therefore, the yearly valuation decay rate is $\frac{15}{100} = 0.15$.

Now, using the exponential function modeling we can write,

$V(y) = 3000(1 - 0.15)^{y} = 3000(0.85)^{y}$

Here, V(y) is the valuation of the computer after y years of purchase.

$3000 is the initial value. (Answer)