# A population P is initially 3100 and four hours later reaches the given number. How do you find the four-hour growth or decay factor?

Jun 6, 2018

$P = {P}_{0} \times {e}^{k \times t}$

#### Explanation:

If you know final population ($P$), you can calculate k (growth rate constant).

$P = 3100 \times {e}^{k \times 4}$

If P is 4000 (for example)

$4000 = 3100 \times {e}^{4 k}$

$k = 0.064$ 1/hour