IXL | Graph a proportional relationship: word problems

Belle is making her special punch for the Starry Night homecoming dance. She adds 2 bottles of lemon-lime soda for every can of peach juice

concentrate.

There is a proportional relationship between the number of cans of peach juice concentrate in a punch bowl,

and the corresponding number of bottles of lemon-lime soda,

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

x-axis, Cans of peach juice concentrate, y-axis, Bottles of lemon-lime soda. 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

In a flash of sheer brilliance, Barbara invents a time machine! The machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. Barbara's machine needs 9 megawatts of electricity per year it travels back.

There is a proportional relationship between how many years Barbara wants to travel back in time,

and how much electricity (in

megawatts)

her time machine needs,

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, if Barbara doesn't travel back in time (0 years), her machine doesn't need any electricity (0 megawatts).

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

9 megawatts per year is the unit rate for this relationship. Each time Barbara travels back 1 more year in time, her machine needs 9 more megawatts of electricity.

From

(

)

move 1 to the right and 9 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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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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