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A car travels 180 miles using 6 gallons of gasoline. What is the constant of proportionality?

1. A car travels 180 miles using 6 gallons of gasoline. What is the constant of proportionality?
2. Explain what the constant of proportionality means in Question 1.
3. Two students are solving this problem:
A recipe uses 4 cups of flour for every 5 cups of sugar. Student A says the constant of proportionality is 4/5. Student B says the constant of proportionality is 1.25. Who is correct if flour is (x) and sugar is (y)?
Explain.
4. What is the constant of proportionality for the relationship in Question 3?

Answer

  1. The constant of proportionality is 30 miles per gallon.

  2. The constant of proportionality in Question 1 means that for every gallon of gasoline, the car travels 30 miles. It represents the rate at which miles are traveled per gallon.

  3. Student B is correct. If flour is (x) and sugar is (y), then the constant of proportionality is calculated as y/x = 5/4 = 1.25.

  4. The constant of proportionality for the relationship in Question 3 is 1.25.

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