Scientists have found the population of insects in a certain area has increased by 12.5%each year since 2020. The initial insect population recorded in 2020 was 450 insects.

Question

Drag the correct value to each box to complete the function that represents this situation.
Drag the correct value to the box to identify, to the nearest whole number, the number of insects there will be in this population in the year 2030.
f(x)
f(10)

Answer 1

f(x) = 450 * 1.125^x

f(10) = 450 * 1.125^10
f(10) = 450 * 3.105
f(10) ≈ 1402

Therefore, the number of insects in the population in the year 2030 will be approximately 1402.