Proportional Relationships Practice

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📊 Part 1: Identifying Proportional Relationships

1. Look at this table showing the cost of apples. Is this a proportional relationship?

Number of apples: 1, 2, 3, 4

Total cost: $3, $6, $9, $12

Yes, this is proportional

No, this is not proportional

2. What is the constant of proportionality (unit rate) for the apple problem above?

$1 per apple

$3 per apple

$6 per apple

3. Look at this table. Is it proportional?

Hours worked: 2, 4, 6, 8

Money earned: $10, $20, $30, $40

Yes, this is proportional

No, this is not proportional

4. If 2 pounds of bananas cost $4, how much do 5 pounds cost?

$10

$12

5. Complete this sentence: A proportional relationship means two things change together and one is always _________ times the other.

The number that stays the same is called the _________.

6. Look at this situation: 3 notebooks cost $9. Show your work to find the cost per notebook.

The constant of proportionality is: $ _____ per notebook

7. If the constant of proportionality is 4, and you have 6 items, what is the total?

Show your work: _____ × _____ = _____

8. Maria buys toy cars. Each car costs $5. Write an equation to show the relationship between the number of cars (n) and total cost (t).

Equation: t = _____

9. A car travels 60 miles in 1 hour. How far will it travel in 3 hours if it keeps the same speed?

10. Look at this pattern: 1 pizza serves 4 people, 2 pizzas serve 8 people, 3 pizzas serve 12 people. Is this proportional? Explain your thinking.