Exponential Growth and Decay Word Problems

Front

What is exponential decay?

Back

Front

How do you represent a population decreasing by a percentage each year?

Back

Front

What does a decay rate of 1.5% mean in terms of an equation?

Back

Front

What is the difference between exponential growth and decay?

Back

Exponential growth occurs when a quantity increases at a rate proportional to its current value, while exponential decay occurs when a quantity decreases at a rate proportional to its current value.

Front

How can you identify if a function represents growth or decay?

Back

If the base of the exponential function is greater than 1, it represents growth. If the base is between 0 and 1, it represents decay.

Front

What is the equation for a population decreasing by 0.5% each month?

Back

Front

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

Back

To convert a percentage decay rate to a decimal, divide the percentage by 100. For example, a 1.5% decay rate becomes 0.015.

Front

What is the formula for continuous decay?

Back

Front

If a population of 15000 decreases at a rate of 1.5% per year, what is the population after 1 year?

Back

Front

What does the term 'decay constant' refer to?

Back