Exponential Growth and Decay Test Review (Daily Grade)

Front

What is exponential growth?

Back

Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth at an increasing rate over time.

Front

What is exponential decay?

Back

Exponential decay refers to the decrease in a quantity at a rate proportional to its current value, resulting in a rapid decline that slows over time.

Front

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

Back

Future Value = Present Value * (1 + growth rate)^number of periods.

Front

How do you calculate the future value of an asset with exponential decay?

Back

Future Value = Present Value * (1 - decay rate)^number of periods.

Front

What is the formula for calculating depreciation?

Back

Depreciation Value = Initial Value * (1 - depreciation rate)^number of years.

Front

If a population of 4,000 mosquitoes grows at 25% per month, how many will there be after 4 months?

Back

9766 mosquitoes.

Front

What is the value of a $35,000 printer after 8 years of 5% annual depreciation?

Back

$23,219.72.

Front

If a home was purchased for $160,000 and appreciates at 5% per year, what is its value after 20 years?

Back

$424,527.63.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs to a straight line, representing a constant rate of change.

Front

What is an exponential equation?

Back

An exponential equation is an equation in which a variable appears in the exponent, indicating a variable rate of change.