Question

The population of 37,000 elephants is increasing at a rate of 5.7% per month

a) Write an equation to model this situation.
b) What will the population of cheetahs be after 10 months?

Answer 1

To model the increasing population of elephants, we can use the formula: P = P0 * (1 + r)^t, where P is the population, P0 is the initial population, r is the growth rate (as a decimal), and t is the time in months. Substitute the given values and solve to find the population after 10 months.

Step-by-step explanation:

To model the increasing population of elephants, we can use the formula: P = P0 × (1 + r)t, where P is the population, P0 is the initial population, r is the growth rate (as a decimal), and t is the time in months. Substituting the given values, we have: P = 37,000 × (1 + 0.057)10. Solving this equation will give us the answer for part (a). To find the population of elephants after 10 months, substitute t = 10 months and calculate.