Recognizing Proportional Relationships

Using the table, what is the cost for 8 lemonades?

Using the table, what is the cost for 1 lemonade? (You may use a calculator)

Carmen is downloading music. Each song is $1.75. Is this a proportional relationship?

• Yes

• No

Tom thinks this is a proportional relationship. Do you agree? Why or why not.

• I agree because 3:1 is the same as 1:1.

• I disagree because 3/1 is not equivalent to 1/1.

• I agree because 1 goes into 3 evenly.

• I disagree because 3 minus 1 is two.

Check the statement(s) which is/are true about the given figure.

• The first two rectangles are proportional

• All the given rectangles are proportional

• The Green and the Red rectangles are proportional

• The Yellow and Red rectangles are NOT proportional

• The perimeters and sides of the Green and Yellow rectangles are proportional

The table is​ ​ (a)   , because it ​ (b)   a constant ratio.

If so, what is the constant of proportionality?​ (c)  

• non-proportional

• proportional

• does not have

• has

• no constant

• k=14

Answer explanation

A proportional relationship means that two quantities maintain a constant ratio. In this case, the relationship does not exhibit a constant ratio, hence the answer is No.

Which situation represents a proportional relationship?

Select the correct answer ○ in each row.

Does the equation y=4x show a proportional relationship?

• yes, the graph is a straight line and passes through the origin

• no, the graph is not a straight line

• no, the graph is a straight line but does not pass through the origin

Does the table represent a proportional relationship?

Directions: The following table shows the relationship between the amount of cherries in pounds and the cost. Is this a proportional relationship? Please explain. If so, what is the equation of proportionality? Cost $1.50 $3.00 $4.50 $6.00 $7.50 Amount 1 2 3 4 5