Question

The selling price of a car is 12,500. Each year, it loses 10% of its value. Find the exponential function that gives the value of the car t years after it’s purchase. Write your answer in the form f(t)=a(b)^t

Answer 1

Answer:

f(t) = 12,500(0.9)^t

Step-by-step explanation:

So we start with the base value of 12,500, which will be "a" in the formula f(t)=a(b)^t.

to find "b" we use the percentage. b will be 1 + the percentage for an increasing value, or 1 - the percentage if it is a decrease. This is decreasing by 10%, which is 0.10 in decimal form. so 1 - .10 which is 0.90 which is b.

so,

f(t) = 12,500(0.9)^t