7th Grade Proportional Reasoning and Relationships

A dance studio charges $12 per dance class. The studio is offering a 15% discount if you pay for a set of 5 classes now. How much does it cost, in dollars, to buy 5 classes with this offer?

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At a carnival game, 22% of the players win a prize. What is the ratio of prize winners to players who do NOT win a prize?

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Reggie makes birdhouses to sell at weekend craft fairs. He can make 4 birdhouses in 6 hours and 40 minutes. How long will it take him to make 25 birdhouses? Assume that each birdhouse takes the same amount of time.

• 41 hours and 15 minutes

• 40 hours and 20 minutes

• 37 hours and 30 minutes

• 35 hours and 40 minutes

The table shows how far Maddy walked after different amounts of time. If the distance traveled is proportional to the time, find the missing value in the table.

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The exchange rate between British pounds (GBP) and U.S. dollars (USD) is 1 USD = 0.72 GBP. What is 76 British pounds converted to U.S. dollars?

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One liter is about 0.26 gallon. Nancy has a goldfish pond that holds 1,225 gallons of water. What is the volume of the goldfish pond in liters? Round to the nearest tenth.

• A) 318.5 liters

• B) 58.5 liters

• C) 856.4 liters

• D) 14,711.5 liters

A bakery lists the following prices for bagels: One bagel for $1.50, Two bagels for $2.25, Half a dozen for $6.50, A dozen for $12.00. Determine whether the total cost is proportional to the number of bagels bought. Select the correct answer.

• A) proportional

• B) not proportional

Answer explanation

The total cost is not proportional to the number of bagels bought as the prices vary depending on the quantity purchased.

The graph shows the number of rabbits in a population over a number of years. Is the number of rabbits proportional to the number of years? Select the correct answer and explanation.

• No; the graph is not a straight line that passes through the origin.

• Yes; the graph is a straight line that passes through the origin.

• Yes; all the ratios rabbits/years are equivalent.

• Not enough information is given.

Answer explanation

No; the graph is not a straight line that passes through the origin.

A festival lists prices according to the number of game tickets. What is the constant of proportionality? Express your answer as a decimal.

There is a proportional relationship between c and d. When c is 4, d is 10. When c is 6, d is 15. What is the constant of proportionality? Express your answer as a decimal.

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