Exponential Growth and Decay Word Problems

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, leading to rapid increases as time goes on.

Tags

CCSS.HSF-LE.A.1A

Front

What is exponential decay?

Back

Exponential decay is when a quantity decreases by a consistent percentage over time, leading to a rapid decrease as time progresses.

Tags

CCSS.HSF-IF.C.8B

Front

What does it mean to depreciate?

Back

To depreciate means to reduce in value over time, often used in the context of assets like machinery or vehicles.

Tags

CCSS.RI.11-12.4

CCSS.RI.4.10

CCSS.RI.5.10

CCSS.RI.6.4

CCSS.RI.9-10.4

Front

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

Back

Use the formula: 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

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

Front

What is the starting term in the function f(x) = 300(1.16)^x?

Back

The starting term is 300.

Tags

CCSS.HSF.LE.B.5

Front

If a population doubles every 3 months, how do you express this mathematically?

Back

You can express it as y = initial population * (2)^(number of periods).

Front

What is the formula for calculating attendance growth?

Back

Attendance = Initial Attendance * (1 + growth rate)^number of months.

Front

What is a growth rate?

Back

A growth rate is the percentage increase in a quantity over a specific period of time.

Tags

CCSS.HSF-IF.C.8B

Front

What is a decay rate?

Back

A decay rate is the percentage decrease in a quantity over a specific period of time.

Tags

CCSS.HSF-IF.C.8B