Question

How do you determine if the equation `y= 90 (0.5)^x` represents exponential growth or decay?

Answer 1

Exponential Decay

Explanation:

To know whether `y = 90(0.5)^x` represents exponential growth or decay, you must look at the rate (or the `b` value in `y = a(b)^x`.

If the `b` value is between 0 and 1 then it is an exponential decay.

If the `b` value is greater than 1 then it is an exponential growth.

Looking that the `b` value for the function presented above, it shows that it's an exponential decay because 0.5 is between 0 and 1.