Exponential Word Problems

Front

What is exponential growth?

Back

Front

What is exponential decay?

Back

Front

What does 'x' represent in the equations for exponential growth and decay?

Back

'x' represents time in both the exponential growth and decay equations.

Front

Back

The y-intercept is the value of 'f(x)' when 'x' is 0. For this function, it is 800.

Front

If a culture of bacteria starts with 5000 cells and dies by 30% each year, what is the equation that represents this situation?

Back

Front

Samantha's hair grows at a rate of 14% a week. What is the equation that models her hair growth starting from 6 inches?

Back

Front

Back

The decay rate is 22%.

Front

Back

'a' represents the initial amount or starting value before growth begins.

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Back

'r' represents the rate of decay as a decimal.

Front

How do you convert a decay rate of 30% into a decimal for use in an equation?

Back

To convert a percentage to a decimal, divide by 100. So, 30% becomes 0.30.