Question

A city has a population of 250,000. The population is expected to decrease 1.5% annually for the next decade. Write a function that represents this situation.

Answer 1

Answer:

Population after $t\ years=250000\times (0.985)^t$

Step-by-step explanation:

If $P$ is the initial amount, $r$ is the annual rate of decrease then after $t$ years the remaining amount$(A)$ will be given by

$A=P(1-\frac{r}{100})^t$

Here $P=250000, r=1.5\%\\\\A=250000(1-\frac{1.5}{100})^t\\\\A=250000(1-0.015)^t\\\\A=250000\times (0.985)^t$