11

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

Answer:

Given the initial population of termites = 60

After 7 days the population of termites = 225

Step-by-step 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

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