Equivalent Ratio Worksheets - Math Monks - Free Printable

Absolutely! Let’s solve each of the 4 problems step by step. Since I can’t see or plot on the actual image, I’ll provide you with completed tables and instructions for plotting on the coordinate plane (which you can do on your worksheet).

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## ✔ Problem 1: Each chair costs $15.

We need to find the total price for 1 to 5 chairs.

Rule: Price = Number of chairs × $15

| Number of chairs | 1 | 2 | 3 | 4 | 5 |
|------------------|-----|-----|-----|-----|-----|
| Price ($) | 15 | 30 | 45 | 60 | 75 |

📈 Plotting Instructions:

- On the coordinate plane, label the x-axis as “Number of chairs” and y-axis as “Price ($)”.
- Plot these points:
(1, 15), (2, 30), (3, 45), (4, 60), (5, 75)
- Connect the dots with a straight line — it will be a diagonal line starting from the origin (if you include 0 chairs → $0).

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## ✔ Problem 2: Each egg costs $0.50.

Find the total price for 1 to 5 eggs.

Rule: Price = Number of eggs × $0.50

| Number of eggs | 1 | 2 | 3 | 4 | 5 |
|----------------|------|------|------|------|------|
| Price ($) | 0.50 | 1.00 | 1.50 | 2.00 | 2.50 |

📈 Plotting Instructions:

- Label x-axis as “Number of eggs”, y-axis as “Price ($)”.
- Plot:
(1, 0.5), (2, 1.0), (3, 1.5), (4, 2.0), (5, 2.5)
- Connect with a straight line — again, this is a proportional relationship.

> 💡 Tip: Since 0.5 is half a dollar, you may want to mark y-axis in increments of 0.5 if possible.

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## ✔ Problem 3: Every hour Dan walks 4 miles.

Find distance walked after 1 to 5 hours.

Rule: Distance = Hours × 4 miles

| Hours | 1 | 2 | 3 | 4 | 5 |
|-------|---|---|---|---|---|
| Distance (miles) | 4 | 8 | 12 | 16 | 20 |

📈 Plotting Instructions:

- Label x-axis as “Hours”, y-axis as “Distance (miles)”.
- Plot:
(1, 4), (2, 8), (3, 12), (4, 16), (5, 20)
- Draw a straight line through the points — starts at (0,0) if extended.

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## ✔ Problem 4: In each shirt there are 6 buttons.

Find number of buttons for 1 to 5 shirts.

Rule: Buttons = Shirts × 6

| Number of shirts | 1 | 2 | 3 | 4 | 5 |
|------------------|---|---|---|---|---|
| Number of buttons | 6 | 12 | 18 | 24 | 30 |

📈 Plotting Instructions:

- Label x-axis as “Number of shirts”, y-axis as “Number of buttons”.
- Plot:
(1, 6), (2, 12), (3, 18), (4, 24), (5, 30)
- Connect with a straight line — proportional relationship again.

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## 🔑 Key Concept: Equivalent Ratios & Graphing

All 4 problems show proportional relationships, meaning:

> As one quantity increases, the other increases at a constant rate.

On a graph, this always forms a straight line that passes through the origin (0,0) — because if you have 0 chairs, 0 eggs, 0 hours, or 0 shirts, you get 0 cost, 0 distance, or 0 buttons.

These are called linear relationships with a constant of proportionality (like $15 per chair, 4 miles per hour, etc.).

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✔ Final Answer Summary:

You now have all 4 completed tables and instructions to plot them. When plotted correctly, each will form a straight line rising from left to right — showing how the two quantities are directly proportional.

Let me know if you’d like printable versions or help drawing the graphs! 🎯