Question

test yourself! practice tool
the population in a small town is modeled by the function $p(t) = 4000 \cdot (1.01)^t$ where $p$ is
the population and $t$ is the number of years since 1990.
complete the statements.
based on the function $p(t) = 4000$ is the
population of the town is
growth rate of the population of the town
population of the town in 1990
population of the town in 1991

Explanation:

Step1: Identify initial time value

Since $t$ is years since 1990, $t=0$ for 1990.

Step2: Calculate $P(0)$

Substitute $t=0$ into $P(t)$:
$P(0)=4000 \cdot (1.01)^0 = 4000 \cdot 1 = 4000$

Step3: Match to the option

This value corresponds to the population in 1990.

Answer:

population of the town in 1990