The value of a car that depreciates over time can be modeled by the function M(t)=18000(0.9)^{2t}.M(t)=18000(0.9) 2t . Write an equivalent function of the form M(t)=ab^t.M(t)=ab t .

Respuesta :

The equivalent exponential decay function is given as [tex]m(t)=18000(0.81)^t[/tex]

Exponential function

An exponential function is in the form

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let m(t) represent the value of the car after t years, hence the exponential decay is given by:

[tex]m(t) = 18000(0.9)^{2t}\\\\m(t)= 18000(0.9)^{2(t)}\\\\m(t)=18000(0.81)^t[/tex]

The equivalent exponential decay function is given as [tex]m(t)=18000(0.81)^t[/tex]

Find out more on exponential decay at: https://brainly.com/question/24077767