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Proportional Tables Rate Practice

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Proportional Tables Rate Practice

Help the team at a neighborhood food truck plan recipes, supplies, and prices. For each table, find the constant of proportionality k = y ÷ x. Include units when they are given. Show how you know the relationship is proportional.

Recipe Scaling

The food truck mixes lemonade using the same recipe each time.

Lemon juice (cups), x

Water (cups), y

1.Find the constant of proportionality from lemon juice x to water y. Write the rate with units.

2.The team has 7 cups of lemon juice. Use the table’s rate to find how many cups of water are needed. Show your calculation.

Comparing Deals

Two snack suppliers list the number of pretzels in each bag and the total price.

Supplier A: pretzels

Supplier A: price ($)

Supplier B: pretzels

Supplier B: price ($)

3.Find each supplier’s unit price in dollars per pretzel. Which supplier charges less per pretzel?

4.Supplier A’s table shows a proportional relationship between the number of pretzels and price. Explain how the table shows this, using at least two pairs of values.

Find the Missing Values

A delivery driver records the distance traveled at a steady speed.

Time (hours), x

Distance (miles), y

5.Complete the delivery route table. The driver travels at a constant rate.

6.What does the constant of proportionality mean in the delivery route? Write its value and units.

7.A customer says, “If a driver travels 42 miles in 1 hour, then the driver travels 84 miles in 3 hours.” Is the customer correct? Use the rate to justify your answer.

TrueFalse

Spot the Relationship

A graphic designer makes signs for the food truck. The table shows the number of sheets of colored paper used for different numbers of signs.

Signs, x

Sheets of paper, y

8.Is this table proportional? Check whether y ÷ x is the same for every pair. Explain your answer.

Yes; every pair has the same ratio.
No; the last pair does not have the same ratio.
No; the first pair does not have the same ratio.
Yes; the values increase.

9.In a separate hypothetical situation, suppose each sign uses 6 sheets of paper. The team wants paper for 7 signs. How many sheets will they need? Explain why this hypothetical relationship is proportional.

10.Create your own proportional table for a food-truck situation. Label x and y with units, include at least three pairs, and write the constant of proportionality.