IXL | Identify proportional relationships by graphing

During hockey season, Avery stays in excellent shape. To keep up her conditioning in the off-season, she swims every day. After 4 seconds of swimming freestyle, Avery travels 8

feet.

After 5

seconds,

she travels 10

feet.

In this relationship,

represents the time (in

seconds)

Avery swims freestyle, and

represents the number of feet she travels.

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

x-axis, Seconds, y-axis, Feet. 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

Ever since Nicholas was a small child, his favorite food has always been carrots. He likes them so much he wants to plant a garden in his backyard just to grow carrots. If his garden is 1 square

foot,

he can grow 5 carrots at a time. If his garden is 2 square

feet,

he can grow 10 carrots at a time.

In this relationship,

represents the size of Nicholas's garden (in square

feet),

and

represents the number of carrots he can grow at a time.

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.

Ever since Nicholas was a small child, his favorite food has always been carrots. He likes them so much he wants to plant a garden in his backyard just to grow carrots. If his garden is 1 square

foot,

he can grow 5 carrots at a time. If his garden is 2 square

feet,

he can grow 10 carrots at a time.

In this relationship,

represents the size of Nicholas's garden (in square

feet),

and

represents the number of carrots he can grow at a time.

The problem describes the points (1, 5) and (2, 10). 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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Teacher tools

Work it out

Not feeling ready yet? These can help:

LL.3Graph points on a coordinate plane

T.1Identify proportional relationships from graphs

Lesson: Proportional relationships

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