Rate of Change

Rate of Change

Rate of Change

• A rate of change is a rate that describes how one quantity changes in relation to another.

• A LINEAR relationship has a CONSTANT rate of change.

• A NONLINEAR relationship has a VARYING rate of change.

Constant Rate of Change Tables

Multiple Choice

What is the approximate constant rate of change in miles per minute?

• about 8 miles per minute

• about 12 miles per minute

• about 10 miles per minute

• about 290 miles per minute

Multiple Choice

What is the rate of change in students per school bus?

• 72 students per school bus

• 144 students per school bus

• 36 students per school bus

• 40 students per school busy

Constant Rate of Change from Graphs

Multiple Choice

What is the constant rate of change in miles per hour while driving in the city?

• 25 miles per hour

• 2 miles per hour

• 60 miles per hour

• 30 miles per hour

Rate of Change

• A constant rate of change must increase OR decrease at a rate that does not change.

• Example: The rain falls at 3 inches per hour.

• This is a constant rate because EVERY hour there are 3 more inches of rain.

• A nonlinear (varying rate of change) increases or decreases at a inconsistent rate

Constant Rate of Change

Varying Rates of Change

Multiple Choice

A population of rats increases by 40 rats per week

• Linear (constant)

• Nonlinear (varying)

Multiple Choice

Constant (linear) or varying (nonlinear) rate of change?

• Constant (linear)

• Varying (nonlinear)

Multiple Choice

Constant (linear) or varying (nonlinear) rate of change

• Constant (linear)

• Varying (nonlinear)