Exploring Graph Proportional Relationships

The video tutorial explains how to identify proportional relationships by graphing them on a coordinate plane. It provides several examples, including the movement of a tree sloth, babysitting earnings, video game rental costs, calories burned during exercise, and batting cage costs. Each example involves plotting data points and determining if the resulting graph is a straight line passing through the origin, which indicates proportionality.

What is a key characteristic of a graph that shows a proportional relationship?

• It is a curved line.

• It passes through the origin.

• It has multiple intercepts.

• It is a horizontal line.

Tags

CCSS.7.RP.A.2D

If a tree sloth moves 6 feet per minute, how far will it move in 3 minutes?

• 12 feet

• 30 feet

• 18 feet

• 24 feet

Tags

CCSS.3.OA.A.3

Why is the distance a tree sloth moves proportional to the time it moves?

• Because the graph has multiple intercepts.

• Because the graph is a horizontal line.

• Because the graph is a curved line.

• Because the graph is a straight line that passes through the origin.

Tags

CCSS.8.EE.B.5

How much does James earn if he babysits for 2 hours?

• $20

• $15

• $10

• $5

Tags

CCSS.3.OA.A.3

What indicates that James' earnings are proportional to the hours he works?

• The graph is a curved line.

• The graph passes through the origin.

• The graph has multiple intercepts.

• The graph is a horizontal line.

Tags

CCSS.7.RP.A.2D

If renting 3 video games costs $7, is the cost proportional to the number of games rented?

• No, because the graph is a horizontal line.

• Yes, because the graph passes through the origin.

• No, because the graph does not pass through the origin.

• Yes, because the graph is a straight line.

Tags

CCSS.7.RP.A.2A

What is the cost of renting 4 video games?

• $11

• $9

• $7

• $5

Tags

CCSS.3.OA.A.3

How many calories does an athlete burn in 2 minutes of exercise?

• 16 calories

• 8 calories

• 12 calories

• 4 calories

Tags

CCSS.6.RP.A.3B

Why is the number of calories burned not proportional to the minutes of exercise?

• Because the graph is a horizontal line.

• Because one point does not fall on the straight line.

• Because the graph does not pass through the origin.

• Because the graph is a straight line.

Tags

CCSS.7.RP.A.2D

Which batting cage represents a proportional relationship between the number of pitches thrown and the cost?

• Strike Zone

• Fun Center

• Game Zone

• Pitch Perfect

Tags

CCSS.7.RP.A.2D