Question

A population of insects increases at a rate of 250 + 8t + 0.9t² insects per day. Find the insect population after 3 days, assuming that there are 40 insects at t = 0. Round your answer to the nearest whole number.

Answer 1

The insect population after 3 days is approximately 282 insects.

Step-by-step explanation:

To find the insect population after 3 days, we need to evaluate the given equation at t = 3.

Substituting t = 3 into the equation 250 + 8t + 0.9t², we get:

250 + 8(3) + 0.9(3)² =

250 + 24 + 0.9(9) =

250 + 24 + 8.1 =

282.1

Therefore, the insect population after 3 days is approximately 282 insects.