Given the equation g(t)=4^t , what is the average rate of change from 0≤t≤2? The average rate of change is __

(It is not 9, 10, 12, 1, or 2)

0<t<10? I’m not sure

Given:

The population of animals = 350

Growth rate = 5% each year.

To find:

The exponential function to model this situation.

Solution:

The general exponential growth model is:

Where, a is the initial value, r is the growth rate in decimal and t is the time period.

Substituting in the above formula, we get

Therefore, the required exponential function is , where f(t) is the number of animals after t years.