y ∝ x: Real-world Applications
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of y being directly proportional to x with real-world contexts, aimed at Grade 7 students.
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Full preview • 13 questions
y ∝ x: Real-world Applications
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If y is directly proportional to x and y = 12 when x = 4, find the constant of proportionality k.
[2 marks]2.
Plot the graph of y = 5x for x values from 0 to 5.
[3 marks]3.
A machine uses 8 liters of oil to run for 4 hours. Assuming the oil consumption is directly proportional to time, how much oil will it use in 7 hours?
[3 marks]4.
Complete the table for y = 2x:
[3 marks]5.
A car rental company charges $50 for 2 days. Assuming the cost is proportional to the number of days, how much would it cost to rent a car for 7 days?
[3 marks]6.
If y = 4x, find the value of y when x = 9.
[2 marks]7.
A factory produces 120 units of a product in 3 hours. Assuming production is directly proportional to time, how many units are produced in 7 hours?
[3 marks]8.
Construct a graph of y = 3x + 2. Plot points for x = -2, 0, 2.
[3 marks]9.
A photographer charges $60 for 3 hours of work. Assuming the charge is proportional to hours, how much would she charge for 8 hours?
[3 marks]10.
A water tank fills at a rate proportional to time. If it takes 10 minutes to fill 30 liters, how much water will fill in 25 minutes?
[3 marks]11.
Identify and correct the mistake in the statement: 'If y is proportional to x, then y equals x divided by a constant.'
[4 marks]12.
A cyclist bikes 15 km in 1 hour. Assuming speed is proportional to time, how far will he travel in 4 hours?
[3 marks]13.
A recipe uses 200 grams of sugar for 4 servings. How much sugar is needed for 10 servings?
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet