IXL | Identify proportional relationships by graphing

This holiday weekend, Joe is going to Chicago to shop and see a baseball game. To avoid traffic, Joe decides to take the train. In 2

minutes,

his train travels 1

mile.

In 8

minutes,

it travels 4

miles.

In this relationship,

represents the time (in

minutes)

Joe spends riding the train, and

represents the distance he travels (in

miles).

Graph two points for this relationship and the line passing through them.

x-axis, Minutes, y-axis, Miles. Coordinate plane graph with 1 quadrants, x-axis coordinates from 0 to 10, y-axis coordinates from 0 to 10.

According to the graph, do x and y have a proportional relationship?

yes

ref_doc_title.

Learn with an example

question

Jada is starting a summer camp for children who are deaf or hard of hearing. She needs to hire enough counselors to chaperone the children. By law, if Jada hires 2

counselors,

then at most 6 children can attend the camp. If she hires 3

counselors,

then at most 9 children can attend.

In this relationship,

represents the number of counselors Jada hires, and

represents the maximum number of children who can attend the camp.

Graph two points for this relationship and the line passing through them.

According to the graph, do x and y have a proportional relationship?

yes

key idea

The graph of a proportional relationship between

and

is a straight line passing through the origin,

(

)

solution

To find two points for this relationship, look for clues in the problem related to

and

y-values.

Jada is starting a summer camp for children who are deaf or hard of hearing. She needs to hire enough counselors to chaperone the children. By law, if Jada hires 2

counselors,

then at most 6 children can attend the camp. If she hires 3

counselors,

then at most 9 children can attend.

In this relationship,

represents the number of counselors Jada hires, and

represents the maximum number of children who can attend the camp.

The problem describes the points (2, 6) and (3, 9). Plot these points on the graph.

To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin, (0, 0).

The points are on a line that passes through the origin. So, x and y have a proportional relationship.

Looking for more? Try these:

Lesson: Proportional relationships

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LL.3Graph points on a coordinate plane

Lesson: Proportional relationships

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