Proportional Relationship Study Guide

Find the constant of proportionality in the graph below.

• 9

• 4.5

• 3

• 1.5

Based on the information in the table, what is the constant of proportionality?

• k = 8

• k = 20

• k = 5

• k = 10

The graph shows the amount of money that Terrance saves each week from his lawn moving job. Which best represents the constant of proportionality?

• (0, 0)

• (1, 200)

• (200, 1)

• (2, 200)

What is k in this proportional relationship?

• 60 

• 120

• 1

• 180

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.

Which of the following tables best represents the relationship between p and f in the equation p = 3.5f ?

• A and C

• B and D

• C and D

• B and C

Which of the following situations represents a proportional relationship?

• A calzone is $6.99 plus $1.00 for each additional topping.

• A babysitter earns $15.00 per hour.

• Spotify charges a $10.00 membership fee plus $9.99 per month.

• A bank account begins with $200.00 and gains $100.00 per week.

Find the unit rate: $4.80 for 4 pounds of apples. How much does it cost for 1 pound of apples?

• $0.83 per pound

• $4.80 per pound

• $1.20 per pound

• $1.10 per pound

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $200 earned for every 2 hours worked

  is the unit rate

• $62.50 is earned for every hour worked

• $300 is earned after working 4 hours