Question

Jayne is studying urban planning and finds that her town is decreasing in population by 3%

Answer 1

Answer:

True

Step-by-step explanation:

Let, $P_0$ be the initial population,

Given,

The population is decreasing by 3%  each year,

Thus, the population after t years would be,

$P=P_0 (1-\frac{3}{100})^t$

$\implies P=P_0(1+\frac{-3}{100})^t$

Since, if a population is changing by a constant rate then the population after t years is,

$P=P_0(1+\frac{r}{100})^t$

Where, r is the rate of changing per period.

Hence, in the given situation the population is changing by the constant rate.