Proportional and Nonproportional Relationships and Functions

The mapping diagram shows a function. What could NOT be a possible value for n?

• 9

• 10

• 11

• 12

Calculate the unit rate/slope for each rider.

• Rider A: 30 Rider B: 24

• Rider A: 24 Rider B: 30

• Rider A: 72 Rider B: 60

• Rider A: 60 Rider B: 72

Write an equation for Rider A

• y=72x

• y=60x

• y=30x

• y=24x

Which relationship is an example of a proportional function?

• a rental company charges $80 per day and a one-time fee of $24

• a taxi ride costs $2 for the first mile and $4 for each additional mile

• a gym membership cost $30 per month and an additional annual registration fee of $75

• Beverly earns $210 a week for 4 weeks and started with $0

Is the given table a proportional relationship? If so, write an equation that relates y to x.

• Yes;  y=1/3x

• Yes;  y=3x

• Yes;  y=5x 

• No

Answer the following questions.

c

d

g

i

f

no

100

10

yes

10,500

y=4500x

y = 1500x

y=10x

1,500

4500

Your answer must be in SIMPLEST FORM.

• 1/3 c. orange juice to 1 serving of fruit smoothie

• 6/5 c. orange juice to 1 serving of fruit smoothie

• 6/15 c. of fruit smoothie/1 c. orange juice

• 2/5 c. orange juice to 1 serving of fruit smoothie

A family makes homemade pickles. They pick the pickles at a rate of 80 pickles per 5 jars. Which answer choices best represent packing y pickles in x jars at that rate? Select TWO correct answers.

What is k in this proportional relationship?

• 60 

• 120

• 1

• 180

Write an equation for Rider B.

• y=72x

• y=60x

• y=30x

• y=24x