Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
( g = 760(1.325)^x )
answer attempt 1 out of 2
growth % increase submit answer

Explanation:

Step1: Match to growth model

Exponential form: $y = a(1+r)^x$, where $a>0$, $1+r>1$ means growth.
Given $y = 760(1.325)^x$, so $1+r=1.325$.

Step2: Calculate growth rate

Solve for $r$: $r = 1.325 - 1$
$r = 0.325$
Convert to percentage: $0.325 \times 100 = 32.5\%$

Answer:

Growth, 32.5% increase