IXL | Identify proportional relationships by graphing

Every Halloween, trick-or-treaters love going to Felix's house to see his spooky decorations and get some of his delicious caramel chews. Felix gives a group of 2 kids a total of 4 caramel

chews.

He gives a group of 3 kids 6 caramel

chews.

In this relationship,

represents the number of kids in a group, and

represents the total number of caramel chews Felix gives to that group.

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

x-axis, Kids, y-axis, Caramel chews. 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

Luke is making his special punch for the Starry Night homecoming dance. Luke makes a bowl of punch using 1 can of peach juice concentrate and 2 bottles of lemon-lime soda. He then makes a larger bowl of punch using 5 cans of peach juice concentrate and 10 bottles of soda.

In this relationship,

represents the number of cans of peach juice concentrate in a punch bowl, and

represents the corresponding number of bottles of lemon-lime soda.

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.

In this relationship,

represents the number of cans of peach juice concentrate in a punch bowl, and

represents the corresponding number of bottles of lemon-lime soda.

The problem describes the points (1, 2) and (5, 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

$Confetti$

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LL.3Graph points on a coordinate plane

Lesson: Proportional relationships

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