IXL | Identify proportional relationships by graphing

Every Sunday, Kamal and his friends get together to play their favorite board game, The Gems of

Rawumba.

Whoever collects the most gems wins! Players can earn gems by building mines. If Kamal builds 1

mine,

he earns 2

gems.

If he builds 2

mines,

he earns 4

gems.

In this relationship,

represents the number of mines Kamal builds, and

represents the number of gems he earns.

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

x-axis, Mines, y-axis, Gems. 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

Melissa wants to save up some money to buy a new smartphone, so she babysits on the weekends. For 1 hour of babysitting, Melissa earns $5. For 2 hours of babysitting, she earns $10.

In this relationship,

represents the time Melissa spends babysitting (in

hours),

and

represents the amount of money she earns babysitting (in

dollars).

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.

Melissa wants to save up some money to buy a new smartphone, so she babysits on the weekends. For 1 hour of babysitting, Melissa earns $5. For 2 hours of babysitting, she earns $10.

In this relationship,

represents the time Melissa spends babysitting (in

hours),

and

represents the amount of money she earns babysitting (in

dollars).

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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LL.3Graph points on a coordinate plane

Lesson: Proportional relationships

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