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Constant of Proportionality

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Constant of Proportionality worksheet preview

Constant of Proportionality

Proportional relationship illustration

📊 Part 1: Understanding Proportional Relationships

1. Look at this table showing the cost of apples:

Number of Apples: 1, 2, 3, 4

Total Cost: $2, $4, $6, $8

What is the constant of proportionality (cost per apple)?

$1 per apple

$2 per apple

$3 per apple

$4 per apple

2. Which of these situations shows a proportional relationship?

A car traveling 60 miles per hour for different amounts of time

The temperature outside at different times of day

A person's age compared to their height

The number of students absent each day

3. A recipe calls for 3 cups of flour to make 12 cookies. What is the constant of proportionality (cups of flour per cookie)?

1/4 cup per cookie

1/3 cup per cookie

3 cups per cookie

4 cups per cookie

4. Check all the ways you can find the constant of proportionality:

Divide y by x in a table

Find the slope of a line through the origin

Look at the coefficient in the equation y = kx

Add the x and y values together

✏️ Part 2: Calculating Constants

5. Complete this table and find the constant of proportionality:

Hours Worked: 2, 4, 6, 8

Money Earned: $30, $60, _____, _____

Missing values: _______ and _______

Constant of proportionality: _______ dollars per hour

6. A proportional relationship is represented by the equation y = 7x.

What is the constant of proportionality? _______

If x = 5, what is y? _______

7. Explain in your own words what the constant of proportionality means:
8. Show your work to find the constant of proportionality:

A car uses 2 gallons of gas to travel 50 miles.

Constant of proportionality: _______ miles per gallon

🎯 Part 3: Real-World Applications

9. Create your own proportional relationship example:

Situation: _________________________________________________

Constant of proportionality: _______________________________

Equation: y = _______ x

10. A store sells pencils for $0.75 each. Complete the equation that represents this relationship:

Total Cost = _______ × Number of Pencils

If someone buys 8 pencils, how much will they pay? $_______

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