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

1 Answer
May 20, 2016

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.