Creating Tables and Graphs of Ratios Worksheet Download - Free Printable

Let's solve each problem step by step. We'll create a table showing the relationship and then plot the values on the coordinate plane.

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Problem 1: Points Earned for Defeating Enemies

> For every enemy defeated, 5 points are earned.
> Create a table showing the points earned for destroying up to 5 enemies.

#### Step 1: Create the Table
We'll list the number of enemies (from 1 to 5) and calculate the points:

| Number of Enemies | Points Earned |
|-------------------|---------------|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |

#### Step 2: Plot on Coordinate Plane
- X-axis: Number of enemies
- Y-axis: Points earned

Plot the points:
(1, 5), (2, 10), (3, 15), (4, 20), (5, 25)

These points will form a straight line with a slope of 5.

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Problem 2: Buttons Used for Shirts

> For every shirt made, 4 buttons are used.
> Create a table showing the buttons needed for making up to 5 shirts.

#### Step 1: Create the Table

| Number of Shirts | Buttons Needed |
|------------------|----------------|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |

#### Step 2: Plot on Coordinate Plane
- X-axis: Number of shirts
- Y-axis: Buttons used

Points: (1, 4), (2, 8), (3, 12), (4, 16), (5, 20)

This is a linear relationship with a slope of 4.

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Problem 3: Cost of Chicken

> Every piece of chicken costs $2.
> Create a table showing the price for up to 5 pieces.

#### Step 1: Create the Table

| Number of Pieces | Total Cost ($) |
|------------------|----------------|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |

#### Step 2: Plot on Coordinate Plane
- X-axis: Number of pieces
- Y-axis: Total cost

Points: (1, 2), (2, 4), (3, 6), (4, 8), (5, 10)

Linear relationship with slope = 2.

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Problem 4: Miles Walked by Dave

> Every hour Dave walks 4 miles.
> Create a table showing the miles traveled over 5 hours.

#### Step 1: Create the Table

| Hours | Miles Traveled |
|-------|----------------|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |

#### Step 2: Plot on Coordinate Plane
- X-axis: Hours
- Y-axis: Miles

Points: (1, 4), (2, 8), (3, 12), (4, 16), (5, 20)

Same as Problem 2 — linear with slope 4.

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✔ Summary of All Tables and Plots

All four problems represent proportional relationships, meaning they can be represented by equations of the form:

$$
y = kx
$$

Where:
- $ x $ is the input (enemies, shirts, chicken pieces, hours)
- $ y $ is the output (points, buttons, cost, miles)
- $ k $ is the constant rate (5, 4, 2, 4 respectively)

Each graph will be a straight line through the origin (0,0), since at zero input, output is zero.

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📈 How to Plot:

For each problem:
1. Label the axes.
2. Mark the points from the table.
3. Connect them with a straight line (since it's proportional).

Example: For Problem 1:
- X-axis: 1 to 5
- Y-axis: 5 to 25
- Plot (1,5), (2,10), etc., and draw a line.

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Final Answer (Tables):

#### 1) Points Earned
| # Enemies | Points |
|-----------|--------|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |

#### 2) Buttons per Shirt
| # Shirts | Buttons |
|----------|---------|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |

#### 3) Chicken Cost
| # Pieces | Cost ($) |
|----------|----------|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |

#### 4) Miles Walked
| Hours | Miles |
|-------|-------|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |

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Now you can fill in these tables on the worksheet and plot the corresponding points on the grids provided. Each graph will show a straight line starting at the origin.

Let me know if you'd like a visual representation or help drawing the graphs!