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.

Tags

CCSS.HSF-LE.A.1B

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).

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

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

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope represent in a graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

The rate of change is 1/4.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

$5 per hour.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B