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Proportional Relationships Practice
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Proportional Relationships Practice
For each problem, show your reasoning when asked. A proportional relationship has a constant ratio between corresponding values.
Recognizing Proportional Relationships
Batches
Cups of raisins
Cups of pretzels
1
2
5
2
4
10
3
6
15
1.Do the batches and cups of raisins in the recipe table form a proportional relationship?
- Yes, because the ratio of raisins to batches is always 2.
- Yes, because the number of raisins increases.
- No, because the table has more than one column.
- No, because the ratio changes in each row.
2.How many cups of pretzels are used per batch in the recipe table?
Hours
Cost ($)
1
7
2
14
3
20
4
28
3.Is the relationship between rental hours and cost proportional? Explain using values from the table.
Constants of Proportionality
4.Complete the statement: In a proportional relationship, the ratio between corresponding quantities is always . The fixed value of that ratio is the .
5.Four sketchbooks cost $18. Find the cost of one sketchbook and state the constant of proportionality in dollars per sketchbook.
6.A printer produces 9 labels each minute. Write an equation for the number of labels, L, printed in m minutes.
7.A proportional relationship has constant of proportionality 6. What value of y corresponds to x = 8 when y = kx?
8.Match each situation on the left with the constant of proportionality and units listed on the right.
- A. $24 for 6 movie tickets
- B. 35 miles in 5 hours
- C. 48 pages printed in 12 minutes
- D. 21 ounces in 3 bottles
- 2. $4 per ticket
- 4. 7 ounces per bottle
- 3. 7 miles per hour
- 1. 4 pages per minute
Using Proportional Relationships
9.A recipe uses 3 cups of broth for every 2 cups of rice. How many cups of broth are needed for 10 cups of rice?
10.A delivery van travels 156 miles in 3 hours at a steady speed. How far will it travel in 5 hours at that speed?
11.A proportional relationship is represented by y = 4.5x. Find y when x = 12, and explain what the 4.5 means in this equation.
12.A school club packs 8 snack bags using 24 granola bars. If each bag gets the same number of bars, how many granola bars are needed for 15 bags?
- 32
- 40
- 45
- 48
3 printable pages
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