Exponential Growth and Decay Word Problems Practice

Front

What is exponential growth?

Back

Exponential growth occurs when the increase of 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 of 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 investment 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 car is worth $8000 and depreciates at 11% per year, what is its value after 5 years?

Back

$4467.25.

Front

How do you find the population after a percentage decrease over several years?

Back

Population = Initial Population * (1 - decrease rate)^number of years.

Front

If a city had a population of 2,950,000 in 2000 and decreased by 2.5% annually, what was its population in 2008?

Back

2,409,123.

Front

What is the impact of a 10% annual decrease in magazine subscriptions on the number of subscribers?

Back

Subscribers = Initial Subscribers * (1 - 0.10)^number of years.

Front

If a magazine has 98,000 subscribers and decreases by 10% each year, how many will it have in 10 years?

Back

34,170.