Question

Is the equation A = 21000 ( 1 − .12 )^t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period?

Answer 1

It is an exponential decay because it is going to be a fraction and the rate% is 12% per time period.

Answer 2

Answer is Exponential Decay.

Exponential Growth and Decay:

Exponential decay is a process that decreases quantity over time.

Exponential growth is a process that increases quantity over time.

(Given),

$A = 21000(1-0.12)^{t}$

Let's take,

$B = (1 - 0.12)^{t}$

As the t increases the B value decreases exponentially. So, the  A = 21000*B also decreases exponentially as t increases.

And the rate of change per time period is (0.12 x 100)% = 12%.

So, It is exponential decay.

Learn more about Exponential Growth and Delay here: https://brainly.com/question/13674608?referrer=searchResults

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