7th Grade Constant Rate of Change

Front

What is the Constant Rate of Change?

Back

The Constant Rate of Change is the rate at which one quantity changes in relation to another. It is often represented as a slope in a linear function.

Front

How do you determine the Constant Rate of Change from a table?

Back

To determine the Constant Rate of Change from a table, calculate the change in the dependent variable divided by the change in the independent variable for any two points.

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What does a negative Constant Rate of Change indicate?

Back

A negative Constant Rate of Change indicates that as one quantity increases, the other quantity decreases.

Front

What is the formula for Constant Rate of Change in a linear equation?

Back

The formula for Constant Rate of Change in a linear equation is y = mx + b, where m is the slope (rate of change) and b is the y-intercept.

Front

If g = 2.4t, what is the Constant Rate of Change?

Back

The Constant Rate of Change is 2.4.

Front

What does it mean if a function has a Constant Rate of Change?

Back

It means that the relationship between the variables is linear, and the change in one variable results in a consistent change in the other.

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How can you represent a Constant Rate of Change graphically?

Back

A Constant Rate of Change can be represented graphically by a straight line on a coordinate plane.

Front

What is the significance of the slope in a linear function?

Back

The slope represents the Constant Rate of Change, indicating how much the dependent variable changes for a unit change in the independent variable.

Front

If the cost of calls is $0.10 per minute, what is the Constant Rate of Change?

Back

The Constant Rate of Change is $0.10 per minute.

Front

What is an example of a situation with a Constant Rate of Change?

Back

An example is a car traveling at a constant speed of 60 miles per hour; the distance traveled increases consistently over time.