Question

11

lath 130A
4. (6 points) When you moved into your dorm room, there were initially 60 termites. After 7 days, there
were 225 termites. To predict the future population of your termite infestation, create an exponential
growth model of the form y=Ca' where a represents days.

Answer 1

Given the initial population of termites = 60

After 7 days the population of termites = 225

Explanation:

We have given the initial termites and the population of termites after 7 days. Now we are required to find the exponential growth model that will help to predict the future population of termites.

We have, Y = Ca^x

When the value of x is zero then population (Y) is 60 termites.

Y = Ca^x

60 = Ca^x

Now, Y = 60a^x

At x = 7 days

Y = 225

225 = 60 a^7

a^7 = 225/60

a = 1.2078

Thus, final population will be, Y = 60(1.2078)^x