He california tiger salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. write an exponential function and find how many california tiger salamanders will be left after 4 years.

There will be approximately 50 California Tiger Salamanders left after 4 years.

Explanation

General exponential decay formula is......

, where is the value at time 't' , is the initial value , is the rate of decay in decimal and is the time.

The number of California Tiger Salamander decreases at the rate of 4.6% per year. That means, the decay rate

In the habitat, there is currently 60 tigers. So, the initial value

So, the exponential function will be now......

Now for finding the number of tigers after 4 years, we will just plug into the above equation. So.....

Thus, there will be approximately 50 California Tiger Salamanders left after 4 years.

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