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Proportional Tables and Graphs

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Proportional Tables and Graphs 7th grade 

Graph with proportional relationship

📊 Part 1: Identifying Proportional Tables

1. Which table shows a proportional relationship? Circle your answer.

Table A: 1→3, 2→6, 3→9, 4→12

Table B: 1→2, 2→5, 3→8, 4→11

Table C: 1→4, 2→8, 3→12, 4→15

2. Complete this proportional table:

Hours worked: 2, 4, 6, ____

Money earned: $16, $32, $48, ____

3. What is the unit rate for the table in question 2?

Unit rate: $____ per hour

4. Check all statements that are true about proportional tables:

The same multiplication factor applies to every row

When graphed, the line passes through (0,0)

The unit rate changes for each row

The relationship forms a straight line when graphed

📈 Part 2: Graphs and Real-World Applications

5. Which graph shows a proportional relationship?

A curved line that starts at (0,0)

A straight line that passes through (0,0)

A straight line that does not pass through (0,0)

6. Movie tickets cost $12 each. Complete the table and determine if this is proportional:

Number of tickets: 1, 2, 3, 4

Total cost: $12, ____, ____, ____

Is this proportional? Circle: YES or NO

7. Sarah's phone plan charges $25 per month plus $0.10 per text message. Is this a proportional relationship? Explain your reasoning:
8. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how many cups of sugar do you need?

Answer: ____ cups of sugar

🎯 Part 3: Challenge Problems

9. Create your own proportional table using a real-world scenario:
10. A car travels at a constant speed. In 2 hours, it goes 120 miles. Complete the table and find the unit rate:

Time (hours): 1, 2, 3, 4, 5

Distance (miles): ____, 120, ____, ____, ____

Unit rate: ____ miles per hour

11. Explain why proportional relationships always pass through the point (0,0) when graphed:

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