Question

The value of a car that depreciates over time can be modeled by G(t)=24000(0.95)^2. G(t)=24000(0.95)^(2t). Write an equivalent function of the form.

Answer 1

The equivalent function of the given equation in the form G(t) = ab^t is G(t) = 24000 * 0.9025^t.

Step-by-step explanation:

The given function is G(t) = 24000(0.95)^(2t). To write an equivalent function of the form G(t) = ab^t, we need to express the given equation in that form.

Using the laws of exponents, 0.95^(2t) can be rewritten as (0.95^2)^t = 0.9025^t.

Therefore, the equivalent function of the given equation in the form G(t) = ab^t is G(t) = 24000 * 0.9025^t.