Question

an initial population of 9 squirrels increases by 2.5 % annually. a. write the function to show how many squirrels will there be after t years.

Answer 1

To calculate the number of squirrels after t years, you can use the function N(t) = N0 * (1 + r)^t, where N0 is the initial population, r is the annual growth rate, and t is the number of years.

Step-by-step explanation:

To find the function to show how many squirrels there will be after t years, we can use the formula:

N(t) = N0 * (1 + r)t

Where:

• N(t) is the number of squirrels after t years
• N0 is the initial population of squirrels
• r is the annual growth rate expressed as a decimal
• t is the number of years

In this case, the initial population is 9 squirrels and the annual growth rate is 2.5%, which is equivalent to 0.025 as a decimal. Therefore, the function would be:

N(t) = 9 * (1 + 0.025)t