# A population P is initially 3000. How do you find an exponential model (growth or decay) for the population after t years if the population P is multiplied by 0.65 every month?

Apr 23, 2017

$P = 3000 \times {0.65}^{t}$

#### Explanation:

Initially when $t = 0$,

$P = 3000 \times {0.65}^{0}$

Hence,

$P = 3000 \times {0.65}^{t}$

graph{y=3000(0.65^x) [-20, 120, -20, 120]}