Question

In an insect study, there are initially 400 rice weevils. The population is projected to increase at a rate of 150% each week. Which formula can accurately predict the rice weevil population for any week after the beginning of the study?

A) P(t)=400×(1+1.5)^t
B) P(t)=400×(1−1.5)^t
C) P(t)=400×(1+0.5)^t
D) P(t)=400×(1.5)^t

Answer 1

The correct formula for predicting the rice weevil population is P(t) = 400 × (1.5)^t, representing exponential growth with a 150% increase each week.

Step-by-step explanation:

The formula that can accurately predict the rice weevil population for any week after the beginning of the study, given an initial population of 400 rice weevils and a projected increase of 150% each week, is P(t) = 400 × (1.5)^t. This formula represents exponential growth where the population is multiplied by 1.5 (or increased by 150%) each week. The variable 't' represents the number of weeks that have passed.