Proportional Relationships in Tables, Graphs, and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Tags

CCSS.7.RP.A.2A

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by identifying the ratio of the y-value to the x-value for any point on the line that represents the proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Back

60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the unit rate from a given distance and time?

Back

To calculate the unit rate, divide the total distance by the total time.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does the slope of a line in a graph represent in a proportional relationship?

Back

The slope represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

If Dr. Morrison drove 340 miles in 5 hours, what was his rate of speed?

Back

68 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of the point (2, 94) in a savings graph?

Back

It represents that after 2 weeks, a total of $94 has been saved.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if two rates are proportional?

Back

Two rates are proportional if their ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality (k)?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B