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

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

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

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.

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

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.

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

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

Which pool has the fastest flow rate?

• First Pool

• Second Pool

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