Exponential Growth and Decay

Front

What is the formula for exponential growth?

Back

Front

What is the formula for exponential decay?

Back

Front

How do you convert a percentage to a decimal for use in exponential equations?

Back

To convert a percentage to a decimal, divide the percentage by 100.

Front

If a population of 8000 fish increases by 6% per year, what is the exponential function to find the population after 10 years?

Back

Front

What does the variable 'r' represent in the exponential growth formula?

Back

'r' represents the growth rate expressed as a decimal.

Front

What is the initial amount in the exponential growth formula?

Back

The initial amount 'a' is the starting quantity before any growth occurs.

Front

If a population decreases by 1.5% per year, what is the exponential decay function for a population of 1500 deer?

Back

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases over time, while exponential decay occurs when a quantity decreases over time.

Front

How do you find the population after a certain number of years using the exponential function?

Back

Plug the number of years into the variable 't' in the exponential function.

Front

What is the value of 'r' if the growth rate is 5%?

Back

'r' would be 0.05.