Question

What is the equation to find the new population in exponential growth?

1) P = P0 * eʳᵗ
2) P = P0 * (1 + r)ᵗ
3) P = P0 * (1 - r)ᵗ
4) P = P0 * (1 + r/t)ᵗ

Answer 1

The equation to find the new population in exponential growth is P = P0 * er*t. In this equation, P represents the new population, P0 represents the initial population, r represents the growth rate, and t represents the time period.

Step-by-step explanation:

The equation to find the new population in exponential growth is:

P = P0 * er*t

In this equation, P represents the new population, P0 represents the initial population, r represents the growth rate (such as the birth rate), and t represents the time period in which the population is growing.

For example, if the initial population is 1000, the growth rate is 0.05, and the time period is 5 years, the equation can be written as: P = 1000 * e0.05*5 = 1000 * e0.25 = 1000 * 1.284 = 1284. The new population after 5 years would be 1284.