Unit Rate and Proportional Relationships

The ratio of boys to girls in Mrs. Smith’s class is 3:5. Create a table of values to represent this proportional relationship.

Put the ratios into the table in order from least to greatest

Mrs. Nobles pro tip: make a ratio bar for the ratio you are given in the question. Use it to help you fill in your table.

a

b

c

d

e

f

g

h

18

5

6

25

30

3

12

10

9

15

Which of the following tables represent a proportional relationship between x and y with a ratio of 1:2?

Toni swims 3 laps per minute. Which of the following tables represent the proportional relationship between the number of minutes, x, and the laps swam, y?

A recipe calls for 2 cups of orange juice for every 6 cups of fruit punch. Given that the ratio of cups of orange juice, x, to the cups of fruit punch, y, represents a proportional relationship. Determine the missing values to complete the table.

a

b

c

d

3 (x value)

5

3 (y value)

18

162

45

Rachel types 14 words in 2 seconds. The table below represents a proportional relationship of seconds, x, to the number of words typed, y. Determine the unit rate for the number of words typed per minute.

Remember how many seconds are in 1 minute!

Mathematical Equivalence

ON

Mr. Johnson bakes chocolate chip cookies. Every cookie has the same number of chocolate chips. There are 48 chocolate chips in 8 cookies. If this is a proportional relationship, what is the unit rate of the number of chocolate chips to cookies baked?

• 1 to 8

• 1 to 6

• 8 to 1

• 6 to 1

Given the graph showing the relationship between Total Cost ($) and Games, determine whether a proportional relationship exists, and explain why.

• Yes, because the graph is a straight line passing through the origin.

• Yes, because the graph is a straight line not passing through the origin.

• No, because the graph is not a straight line.

• No, because the graph does not pass through the origin.

Which table represents a proportional relationship?

Which set of ordered pairs represents a proportional relationship?

• (2,12), (6, 36), (11, 66)

• (2, 12), (6, 18), (11, 24)

• (2, 12), (6, 16), (11, 23)

• (2, 12), (6, 22), (11, 32)

Jackie pays an Uber driver a $3.00 service fee and $1.50 for every mile driven.

Does this represent a proportional relationship?

• Yes, because the cost increases at a constant rate per mile.

• No, because there is a fixed service fee in addition to the per mile cost.

• Yes, because the total cost depends on the number of miles driven.

• No, because the cost per mile changes after a certain distance.