The population of Townville in 1860 was 1500 people. The population grew at about a rate of 2.8% per year until 1960. What was the population of Townville in 1940? When did/will the population exceed 20,000 people? Write an equation that can be used to find the population at any time t in years.

The population of Townville in 1940 was of 13663

The population exceeded 20,000 people in 1953.

Equation:

Step-by-step explanation:

The population of Townville in t years after 1860 is given by the following equation:

In which P(0) is the population in 1860 and r is the growth rate, as a decial.

The population of Townville in 1860 was 1500 people. The population grew at about a rate of 2.8% per year until 1960.

This means that

Then

What was the population of Townville in 1940?

1940 is 1940 - 1860 = 80 years after 1860. So this is P(80).

The population of Townville in 1940 was of 13663

When did/will the population exceed 20,000 people?

We have to find t for which P(t) = 20,000. If t > 100, it means that with what we have(the growth rate is for 100 years), the population did not exceed 20,000.

So

1860 + 93.79 = 1953.79

The population exceeded 20,000 people in 1953.

to be honest i don't know but i need points so