constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals of time.

Front

How do you calculate the constant rate of change?

Back

Divide the change in the dependent variable by the change in the independent variable (slope = rise/run).

Front

If Ernie travels 195 miles in 3 hours, what is his speed?

Back

65 miles per hour (195 miles ÷ 3 hours).

Front

What is the formula for a linear relationship?

Back

y = mx + b, where m is the slope (rate of change) and b is the y-intercept.

Front

What does the slope represent in a graph?

Back

The slope represents the rate of change between the two variables.

Front

If the equation is y = 1/4x, what is the rate of change?

Back

The rate of change is 1/4.

Front

What does a non-linear graph indicate about the rate of change?

Back

A non-linear graph indicates that the rate of change is not constant.

Front

If a table shows values increasing by 5 for every hour, what is the constant rate of change?

Back

$5 per hour.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How can you determine if a relationship is linear from a table of values?

Back

If the differences between consecutive y-values are constant for equal x-intervals, the relationship is linear.