Mathematics Grade 7 15 min

Find the constant of proportionality: word problems

Find the constant of proportionality: word problems

What you'll learn

  • Identify the constant of proportionality (k) from a word problem by correctly setting up a proportion and recognizing the ratio that remains constant in at least 80% of given examples.
  • Solve word problems involving proportional relationships by calculating the constant of proportionality (k) and using it to find an unknown value, achieving at least 70% accuracy on a quiz.
  • Explain in writing, using accurate mathematical vocabulary, how the constant of proportionality (k) represents the relationship between two quantities in a real-world scenario, demonstrating understanding in a short paragraph assessed using a rubric.
  • Apply the concept of constant of proportionality to create a table and a graph representing a proportional relationship described in a word problem, accurately plotting at least 4 points and drawing a straight line through the origin in at least 2 out of 3 attempts.

Tutorial Preview

1

A car travels 120 miles in 2 hours. Find the speed in miles per hour.

2

A table shows the cost of apples. Find the cost per apple. Table: (Apples: 2, Cost: $1.00), (Apples: 4, Cost: $2.00).

3

A printer prints 40 pages in 5 minutes. Find the constant of proportionality for pages per minute.

Sample Practice Questions

Easy
A bike travels 10 miles in 2 hours. What is the constant of proportionality in miles per hour?
0.5
1.8
2.12
3.20
Easy
It costs $6 to buy 3 sodas. What is the cost per soda?
0.$2
1.$3
2.$6
3.$18
Easy
A bakery makes 20 cookies for 5 people. Find the constant for cookies per person.
0.2
1.3
2.4
3.5

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Frequently asked questions

What grade level is "Find the constant of proportionality: word problems"?

Find the constant of proportionality: word problems is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Find the constant of proportionality: word problems?

You'll be able to: Identify the constant of proportionality (k) from a word problem by correctly setting up a proportion and recognizing the ratio that remains constant in at least 80% of given examples; Solve word problems involving proportional….

Is "Find the constant of proportionality: word problems" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Find the constant of proportionality: word problems?

This lesson includes 26 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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