The population of a community is known to increase at a rate proportional to the number of people present at time t. the initial population p0 has doubled in 5 years. suppose it is known that the population is 10,000 after 3 years. what was the initial population p0? (round your answer to one decimal place.)

The initial population is 6598.

Step-by-step explanation:

Given : The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population has doubled in 5 years. Suppose it is known that the population is 10,000 after 3 years.

To find : What was the initial population ?

Solution :

Using the formula,

The initial population has doubled in 5 years.

i.e.

For t=5,

Substitute in the equation,

Substitute, P(t)=10,000 and t=3 years

Therefore, The initial population is 6598.

-50/3 is the final answer! : )