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 quantity, remaining consistent over time.

Front

How do you calculate the constant rate of change from a table of values?

Back

To calculate the constant rate of change, divide the change in the dependent variable by the change in the independent variable.

Front

If a car travels 150 miles in 3 hours, what is its constant rate of change?

Back

50 miles per hour.

Front

What does a constant rate of change indicate about a graph?

Back

A constant rate of change indicates a linear relationship, represented by a straight line on a graph.

Front

What are the units for measuring constant rate of change in speed?

Back

Units are typically in distance per time, such as miles per hour.

Front

If Ernie travels 195 miles in 3 hours, how far will he travel in 5 hours at the same speed?

Back

325 miles.

Front

What is the formula for calculating distance when speed and time are known?

Back

Distance = Speed × Time.

Front

What does a slope of 2 represent in a rate of change context?

Back

A slope of 2 means that for every 1 unit increase in the independent variable, the dependent variable increases by 2 units.

Front

What is the significance of a non-linear rate of change?

Back

A non-linear rate of change indicates that the relationship between variables is not constant and can vary.

Front

How can you express a constant rate of change as an equation?

Back

An equation can be expressed in the form y = mx + b, where m is the rate of change.