Answer:
Growth
Step-by-step explanation:
Given
[tex]\frac{2}{3}(2.5)^x[/tex]
Required
Growth or decay
The general form is:
[tex]y = ab^x[/tex]
Such that:
[tex]b = rate[/tex]
For b, we have the following conditions:
[tex]b > 1[/tex] ----- Growth
[tex]0<b <1[/tex] --- Decay
[tex]b = 1[/tex] ---- None
Compare [tex]\frac{2}{3}(2.5)^x[/tex] to [tex]y = ab^x[/tex]
[tex]b = 2.5[/tex]
Because 2.5 > 1, then the first condition applies (growth)
