The population of bats in a large cave is 7000 and is growing exponentially at 14% per year. Write a function to represent the population of bats after tt
t years, where the monthly rate of change can be found from a constant in the function.

In this exercise we have to identify how to write an exponential function from the data informed in the text, in this way we find that:

From the information given in the statement we find that:

Then writing this function as:

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y=7000+14^t

Step-by-step explanation:

This equation shows that the original population of bats was 7000 and grows exponentially at a rate of 14% per year.

I put the graph below so you can see it.