Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Tags

CCSS.7.RP.A.2C

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the values in the proportion.

Tags

CCSS.7.RP.A.3

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Tags

CCSS.7.RP.A.2D

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio and does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified if the graph does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the relationship between the number of people in line and waiting time for a roller coaster?

Back

The relationship is proportional; as the number of people increases, the waiting time increases at a constant rate.

Tags

CCSS.7.RP.A.2D

Front

If 150 people take 20 minutes to ride, how do you find the waiting time for 240 people?

Back

Set up a proportion: 150/20 = 240/x, then cross-multiply and solve for x.

Tags

CCSS.7.RP.A.3