Growth/Decay More Practice

Front

What is the general form of an exponential growth function?

Back

Front

What is the general form of an exponential decay function?

Back

Front

Back

The value of 'b' is approximately 0.9945.

Front

How do you convert a percentage decrease to a decay factor?

Back

Subtract the percentage decrease (as a decimal) from 1. For example, a 5% decrease is represented as 1 - 0.05 = 0.95.

Front

What does the term 'initial value' refer to in exponential functions?

Back

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

Front

How do you find the percent increase from a growth factor?

Back

Subtract 1 from the growth factor and multiply by 100. For example, if the growth factor is 1.05, the percent increase is (1.05 - 1) * 100 = 5%.

Front

What is the formula to model population growth?

Back

Front

What is the formula to model population decay?

Back

Front

If a car depreciates at a rate of 5.2% per year, what is the depreciation factor?

Back

The depreciation factor is 0.948, calculated as 1 - 0.052.

Front

What is the significance of the base 'b' in exponential functions?

Back

The base 'b' indicates the growth or decay factor; if b > 1, it represents growth, and if 0 < b < 1, it represents decay.