Proportion Relationship

Is this the graph of a proportion? Explain how you know based on the features of the graph.

• Straight line through the origin - it is a proportion

• Not a proportion

Solve the proportion:

• 4

• 8

• 14

• 10

In order for a graph to represent a proportional relationship, the line must be straight and go through the _________.

• y-axis

• origin

• x-axis

• 1st quadrant

What does (8, 2) mean in meaningful words?

• 8 petals and 2 daisies

• 8 daisies and 2 petals

• 4 daisies per petal

• 4 petals per daisy

Which situation represents a proportional relationship?

Select the correct answer ○ in each row.

What is the equivalent ratio of 4:6 when simplified?

• 2:3

• 1:2

• 3:4

• 6:9

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.

A recipe calls for 2 cups of flour for every 3 cups of sugar. Which of the following is the correct ratio of flour to sugar?

• 2:3

• 3:2

• 1:1.5

• 1.5:1

A school's student to teacher ratio is 20:1. If there are 400 students, how many teachers are there?

• 10

• 20

• 40

• 80

In a survey, the ratio of people who prefer tea to those who prefer coffee is 3:2. If 120 people were surveyed, how many prefer tea?

• 48

• 72

• 80

• 90