Solving Exponential Growth and Decay with Logarithms

Front

What is the decay factor for a population decreasing at a rate of 5%?

Back

.95

Front

What does a graph showing a decrease in population represent?

Back

Decay

Front

How can you identify an exponential equation?

Back

An exponential equation has a variable in the exponent.

Front

If a printer worth $35,000 depreciates at a rate of 5% per year, what will it be worth in 8 years?

Back

$23,219.72

Front

How do you express the size of an object that doubles every week after 5 weeks?

Back

70(2)⁵

Front

What is the formula for exponential growth?

Back

y = a(1 + r)ⁿ

Front

What is the formula for exponential decay?

Back

y = a(1 - r)ⁿ

Front

What does the variable 'a' represent in exponential functions?

Back

The initial amount or value.

Front

What does the variable 'r' represent in exponential functions?

Back

The growth or decay rate.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.