Exponential Growth and Decay

Front

What is the formula for exponential growth?

Back

Front

How do you convert a percentage growth rate to a decimal for calculations?

Back

To convert a percentage growth rate to a decimal, divide the percentage by 100. For example, 5% becomes 0.05.

Front

What is the formula for exponential decay?

Back

Front

If a population of 1000 increases by 10% per year, what is the population after 1 year?

Back

Front

What does the variable 'r' represent in the exponential growth and decay formulas?

Back

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

Front

How do you find the population after multiple years using exponential growth?

Back

Front

What is the difference between exponential growth and linear growth?

Back

Exponential growth increases at a rate proportional to its current value, while linear growth increases by a constant amount.

Front

If a population decreases by 20% per year, what is the decay factor?

Back

Front

How do you calculate the future value of an investment using exponential growth?

Back

Front

What is the initial value in an exponential growth model?

Back

The initial value is the starting amount before any growth occurs, represented by 'a' in the formula.