Ratio Tables Worksheets - Math Monks - Free Printable

Problem Analysis:

The task involves completing ratio tables and plotting graphs for four different scenarios. Each scenario describes a proportional relationship, and we need to use this relationship to fill in the tables and then plot the corresponding points on a graph.

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Solution:

#### 1) A notebook costs \$2. Complete the table showing the price for up to 8 notebooks, then plot the graph.

- Given: The cost of one notebook is \$2.
- Relationship: Price = Number of Notebooks × \$2.

| Notebooks | 1 | 3 | 6 | 8 |
|-----------|---|---|---|---|
| Price (in $) | 2 | 6 | 12 | 16 |

- Explanation:
- For 1 notebook: \( 1 \times 2 = 2 \)
- For 3 notebooks: \( 3 \times 2 = 6 \)
- For 6 notebooks: \( 6 \times 2 = 12 \)
- For 8 notebooks: \( 8 \times 2 = 16 \)

- Graph:
- Plot the points: (1, 2), (3, 6), (6, 12), (8, 16).
- The graph will be a straight line passing through the origin (0, 0).

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#### 2) For every correct answer, 3 marks are awarded. Complete the table showing the marks earned for giving the correct answers up to 10 questions, then plot the graph.

- Given: 3 marks are awarded for each correct answer.
- Relationship: Marks = Number of Correct Answers × 3.

| Correct answers | 1 | 4 | 8 | 10 |
|------------------|---|---|---|----|
| Marks | 3 | 12 | 24 | 30 |

- Explanation:
- For 1 correct answer: \( 1 \times 3 = 3 \)
- For 4 correct answers: \( 4 \times 3 = 12 \)
- For 8 correct answers: \( 8 \times 3 = 24 \)
- For 10 correct answers: \( 10 \times 3 = 30 \)

- Graph:
- Plot the points: (1, 3), (4, 12), (8, 24), (10, 30).
- The graph will be a straight line passing through the origin (0, 0).

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#### 3) A piece of chicken costs \$2.5. Complete the table showing the price for up to 5 pieces, then plot the graph.

- Given: The cost of one piece of chicken is \$2.5.
- Relationship: Price = Number of Pieces of Chicken × \$2.5.

| Pieces of chicken | 1 | 2 | 4 | 5 |
|-------------------|---|---|---|---|
| Price (in $) | 2.5 | 5 | 10 | 12.5 |

- Explanation:
- For 1 piece: \( 1 \times 2.5 = 2.5 \)
- For 2 pieces: \( 2 \times 2.5 = 5 \)
- For 4 pieces: \( 4 \times 2.5 = 10 \)
- For 5 pieces: \( 5 \times 2.5 = 12.5 \)

- Graph:
- Plot the points: (1, 2.5), (2, 5), (4, 10), (5, 12.5).
- The graph will be a straight line passing through the origin (0, 0).

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#### 4) Every minute, 4 books are printed. Complete the table showing the number of books printed over a course of 5 minutes, then plot the graph.

- Given: 4 books are printed per minute.
- Relationship: Books Printed = Minutes × 4.

| Minutes | 1 | 2 | 4 | 5 |
|---------|---|---|---|---|
| Books printed | 4 | 8 | 16 | 20 |

- Explanation:
- For 1 minute: \( 1 \times 4 = 4 \)
- For 2 minutes: \( 2 \times 4 = 8 \)
- For 4 minutes: \( 4 \times 4 = 16 \)
- For 5 minutes: \( 5 \times 4 = 20 \)

- Graph:
- Plot the points: (1, 4), (2, 8), (4, 16), (5, 20).
- The graph will be a straight line passing through the origin (0, 0).

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Final Answer:

1.
- Table:
| Notebooks | 1 | 3 | 6 | 8 |
|-----------|---|---|---|---|
| Price (in $) | 2 | 6 | 12 | 16 |
- Graph: Straight line through (1, 2), (3, 6), (6, 12), (8, 16).

2.
- Table:
| Correct answers | 1 | 4 | 8 | 10 |
|------------------|---|---|---|----|
| Marks | 3 | 12 | 24 | 30 |
- Graph: Straight line through (1, 3), (4, 12), (8, 24), (10, 30).

3.
- Table:
| Pieces of chicken | 1 | 2 | 4 | 5 |
|-------------------|---|---|---|---|
| Price (in $) | 2.5 | 5 | 10 | 12.5 |
- Graph: Straight line through (1, 2.5), (2, 5), (4, 10), (5, 12.5).

4.
- Table:
| Minutes | 1 | 2 | 4 | 5 |
|---------|---|---|---|---|
| Books printed | 4 | 8 | 16 | 20 |
- Graph: Straight line through (1, 4), (2, 8), (4, 16), (5, 20).

\boxed{See above for completed tables and graph instructions.}