IXL | Graph a proportional relationship: word problems

During the summer, Jennifer works on her uncle's dairy farm. One of Jennifer's many chores is to load bales of hay onto a wagon and haul them from the field into the barn. She can haul 4 bales of hay in each wagon

load.

There is a proportional relationship between the number of wagon

loads,

and the number of bales of hay Jennifer can haul,

Graph this relationship. Select two points to draw a line.

x-axis, Wagon loads, y-axis, Bales. Coordinate plane graph with 1 quadrants, x-axis coordinates from 0 to 10, y-axis coordinates from 0 to 10.

ref_doc_title.

Learn with an example

question

Roxanne is measuring the diameter and the radius of different-sized circles. She finds the diameter is always 2 times longer than the radius.

There is a proportional relationship between the radius of the circle in

inches,

and the diameter of the circle in

inches,

Graph this relationship. Select two points to draw a line.

key idea

The graph of a proportional relationship between

and

is a straight line passing through the origin

(

)

solution

To graph the relationship, find two points that satisfy it and draw a line through them.

Since the relationship is proportional, the line passes through the point

(

)

In other words, a circle with no radius (0 inches) has no diameter (0 inches).

To find another point, look for clues in the problem that describe the unit rate.

Roxanne is measuring the diameter and the radius of different-sized circles. She finds the diameter is always 2 times longer than the radius.

2 inches in diameter per inch in radius is the unit rate for this relationship. If Roxanne makes the radius of a circle 1 inch longer, its diameter will be 2 inches longer.

From

(

)

move 1 to the right and 2 up to plot

(

)

The line through

(

)

and

(

)

shows the proportional relationship.

Looking for more? Try these:

Lesson: Proportional relationships

Lesson: Unit rates

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Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

N.4Find the constant of proportionality from a graph

LL.3Graph points on a coordinate plane

Lesson: Proportional relationships

Lesson: Unit rates

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