Question

How do you determine if the equation `y = 0.84(0.94)^x` represents exponential growth or decay?

Answer 1

exponential decay

Explanation:

Recall that the general equation for an exponential equation is:

`y=a(b)^x`

where:
`a=`vertical stretch/compression
`b=`base
`x=`exponent

If `b>1`, there is exponential growth.
If `0` `<` `b` `<1`, there is exponential decay.

In your case, since `b=0.94` and is less than `1`, the function represents exponential decay, regardless of the value of `a`.