Exponential Growth and Decay Practice

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a specific period of time, leading to rapid increases as the base amount grows.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a fixed percentage over a specific period of time, leading to rapid decreases as the base amount shrinks.

Front

How do you calculate the remaining amount after exponential decay?

Back

Remaining amount = Initial amount × (1 - decay rate) ^ number of periods.

Front

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

Back

Future value = Initial investment × (1 + growth rate) ^ number of years.

Front

What is the decay rate in the context of radioactive substances?

Back

The decay rate is the percentage by which a radioactive substance decreases in quantity over a specific time period.

Front

Provide an example of exponential growth in nature.

Back

The spread of a viral infection is an example of exponential growth, where the number of infected individuals increases rapidly.

Front

Provide an example of exponential decay in nature.

Back

The decay of radioactive materials is an example of exponential decay, where the amount of substance decreases over time.

Front

If a substance decays by 20% each day, how much will remain after 3 days if starting with 500 grams?

Back

128 grams.

Front

What is the formula for calculating the value of a depreciating asset?

Back

Value after years = Initial value × (1 - depreciation rate) ^ number of years.

Front

If a car's value decreases by 15% each year, what will its value be after 5 years if it starts at $20,000?

Back

$7,724.31.