Math 7 Unit 3 - Exploring Ratios and Proportional Relationships

A cookie factory operates 8 cutting machines, with each machine capable of cutting 12 gingerbread cookies every 45 seconds. How many gingerbread cookies can all 8 machines cut in one minute?

• 16

• 128

• 60

• 720

Tags

CCSS.7.EE.B.3

De'Andre started a lawn care business to make extra money during the summer. The amount De'Andre charges to mow a lawn is proportional to the time it takes him to mow the lawn. For a lawn that takes 3.5 hours to mow, De'Andre charges the customer $80.50.

Write an equation that represents the relation between the amount of dollars, d, that De'Andre charges when it takes him h hours to mow the lawn?

• d = 3.5h

• d = 80.50h

• h = 23d

• d = 23h

Tags

CCSS.7.RP.A.2C

De'Andre started a lawn care business to make extra money during the summer. The amount De'Andre charges to mow a lawn is proportional to the time it takes him to mow the lawn. For a lawn that takes 3.5 hours to mow, De'Andre charges the customer $80.50.

De'Andre estimated that it would take 5.5 hours to mow Lyric’s lawn. He quoted her a price of $200.00. Is the price that De'Andre quoted Lyric fair?

• Yes

• No

Tags

CCSS.7.RP.A.2A

The graph shows the profit Farmhouse Shakes can make from selling their shakes in the mall. Is the number of milkshakes sold proportional to the profit? Justify your answer.

• Yes, the number of milkshakes sold is proportional to the profit.

• No, the number of milkshakes sold is not proportional to the profit.

• It cannot be determined from the graph.

Tags

CCSS.7.RP.A.2D

What does the point (30, 45) mean in the context of the situation?

• When 45 milkshakes are sold, Farmhouse Shakes makes $30 in profit

• When 20 milkshakes are sold, Farmhouse Shakes makes $30 in profit

• When 30 milkshakes are sold, Farmhouse Shakes makes $20 in profit

• When 30 milkshakes are sold, Farmhouse Shakes makes $45 in profit

Tags

CCSS.HSF.LE.B.5

What is the unit rate?

• The unit rate is 1 milkshake per $10.

• The unit rate is 1 milkshake per $20.

• The unit rate is 1 milkshake per $1.50.

• The unit rate is 1 milkshake per $1.

Tags

CCSS.7.RP.A.2D

What is the constant of proportionality for the First Pool?

• The constant of proportionality is 1

• The constant of proportionality is 20

• The constant of proportionality is 0.5

• The constant of proportionality is 0.05

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality for the Second Pool?

• The constant of proportionality is 9

• The constant of proportionality is 0.11

• The constant of proportionality is 20

• The constant of proportionality is 0.05

Tags

CCSS.7.RP.A.2B

Which pool has the fastest flow rate?

• First Pool

• Second Pool

Tags

CCSS.8.EE.B.5

Two weeks ago, Caitlin went to her favorite coffee shop which advertised a discount of 15% on all pastries. Caitlin decided to buy a croissant that was originally priced at $3.50. How much did Caitlin pay for the croissant before tax?

• $0.15

• $2.98

• $3.65

• $0.53

Tags

CCSS.6.RP.A.3C