Proportional Relationships and Rates

The equation y = 7.6x represents a proportional relationship. What is the constant of proportionality?

• 1/7.6

• 7.6

• x

• y

Tags

CCSS.7.RP.A.2

The tables show the numbers of green and purple beads Mia and Riley used to make 5 different decorative picture frames. Part A: Are the numbers of green and purple beads in Mia’s picture frames proportional? Write an equation that relates the number of purple beads, p, to the number of green beads, g

• Yes, the numbers are proportional. The equation is p = 3.5g

• Yes, the numbers are proportional. The equation is p = 2g

• No, the numbers are not proportional.

• Yes, the numbers are proportional. The equation is p = 5g.

Tags

CCSS.6.EE.B.6

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

The tables show the numbers of green and purple beads Mia and Riley used to make 5 different decorative picture frames. Part B: Are the numbers of green and purple beads in Riley’s picture frames proportional? Write an equation that relates the number of purple beads, p, to the number of green beads, g.

• Yes, the numbers are proportional. The equation is p = 0.5g + 5

• Yes, the numbers are proportional. The equation is p = 0.6g + 5

• No, the numbers are not proportional. The equation is p=g+3

• Yes, the numbers are proportional. The equation is p = 0.4g + 6

Tags

CCSS.6.EE.B.6

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

The graph shows how many sheets of paper a paper-folding machine can fold in a certain number of minutes. What is the constant of proportionality, and what does it mean in this situation?

• The constant of proportionality is the number of sheets folded per minute which is k=150

• The constant of proportionality is the total number of sheets folded which is k=3000

• The constant of proportionality is the time taken to fold one sheet which is k=20

• The constant of proportionality is the speed of the machine in meters per second. which is k=100

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.3

What do the ordered pairs on this graph represent?

• The number of sheets folded in a given number of minutes.

• The speed of the machine in sheets per minute.

• The total time taken to fold a certain number of sheets.

• The efficiency of the machine.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

• 4 miles per hour

Tags

CCSS.6.NS.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art’s holiday fruit punch?

• 0.05 cup

• 0.1 cup

• 0.375 cup

• 0.475 cup

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

The water pump for a swimming pool can move 166.5 gallons of water in 3 minutes. The number of gallons, g, is proportional to the number of minutes, m, that the pump operates. Select the equation that represent the relationship between g and m.

• g = 55.5m

• g = 0.02m

• m = 55.5g

Tags

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.1

CCSS.6.RP.A.2

A grocery store manager uses 1/2 crate of apples for every 3/4 crate of oranges in a fruit display. How many crates of oranges will she need if she uses 2 1/2 crates of apples?

• 3 3/4 crates

• 2 1/4 crates

• 4 crates

• 5 crates

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

At the local bookstore, Jim bought 2 paperback books for $13.00. Maria bought 5 paperback books for $32.50. Tanya bought 7 paperback books for $45.50. Part A: Use a graph to represent the situation. What is the cost per book for Maria?

• $6.50 per book

• $6.00 per book

• $5.50 per book

• $7.00 per book

Tags

CCSS.6.NS.B.3

CCSS.6.NS.C.8

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3