Ratios in Tables and Graphs | Worksheet - Free Printable

Let's solve each problem step by step, based on the image you described. The worksheet is about ratios in tables and graphs, where we need to:

1. Fill in missing values in ratio tables.
2. Plot points on a graph to represent the data.

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Problem 1: Sale at Southside Stationery

Situation: There is a sale on boxes of thank-you cards. Each box costs $7.

We are given a table:
| Boxes of Cards | 1 | 2 | 3 | 4 | 5 |
|----------------|---|---|---|---|---|
| Total Cost ($) | 7 | 14 | ? | ? | ? |

#### Step 1: Identify the Ratio
Each box costs $7 → So the ratio is:
> Cost = 7 × Number of Boxes

So:
- 3 boxes → 3 × 7 = $21
- 4 boxes → 4 × 7 = $28
- 5 boxes → 5 × 7 = $35

#### Updated Table:
| Boxes of Cards | 1 | 2 | 3 | 4 | 5 |
|----------------|---|---|---|---|---|
| Total Cost ($) | 7 | 14 | 21 | 28 | 35 |

#### Step 2: Graph
Plot the points (Boxes, Cost):
- (1, 7)
- (2, 14)
- (3, 21)
- (4, 28)
- (5, 35)

These will form a straight line through the origin since it’s a proportional relationship.

✔ Graph: Plot these points on the first graph provided.

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Problem 2: Jill’s Comic Books

Situation: Jill uses 8 tiles for every comic book she makes.

Table:
| Tiles Used | 8 | 16 | 24 | 32 | ? |
|------------|---|----|----|----|---|
| Comics Made | 1 | 2 | 3 | 4 | ? |

#### Step 1: Find Missing Values
Ratio: 8 tiles per comic → So:
- 5 comics → 5 × 8 = 40 tiles

Updated Table:
| Tiles Used | 8 | 16 | 24 | 32 | 40 |
|------------|---|----|----|----|-----|
| Comics Made | 1 | 2 | 3 | 4 | 5 |

#### Step 2: Graph
Plot points (Comics Made, Tiles Used):
- (1, 8)
- (2, 16)
- (3, 24)
- (4, 32)
- (5, 40)

This is also a proportional relationship — a straight line from origin.

✔ Graph: Plot these points on the second graph.

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Problem 3: Paul Uses Flour

Situation: Paul uses 2 cups of flour for every 3 leaves of basil.

Table:
| Cups of Flour | 2 | 4 | 6 | ? |
|---------------|---|---|---|---|
| Leaves of Basil | 3 | 6 | 9 | ? |

#### Step 1: Understand the Ratio
Flour : Basil = 2 : 3

So for every 2 cups of flour, 3 leaves of basil.

We can scale up:
- 2 → 3
- 4 → 6 (double)
- 6 → 9 (triple)
- Next: 8 cups of flour → 12 leaves of basil

So:
- 8 cups flour → 12 leaves basil

Updated Table:
| Cups of Flour | 2 | 4 | 6 | 8 |
|---------------|---|---|---|-----|
| Leaves of Basil | 3 | 6 | 9 | 12 |

#### Step 2: Graph
Plot points (Cups of Flour, Leaves of Basil):
- (2, 3)
- (4, 6)
- (6, 9)
- (8, 12)

This is a proportional relationship with slope = 3/2.

✔ Graph: Plot these points on the third graph.

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Problem 4: Chef Chopping Vegetables

Situation: The chef chops 4 carrots for every 3 peppers.

Table:
| Peppers Chopped | 3 | 6 | 9 | ? |
|------------------|---|---|---|---|
| Carrots Chopped | 4 | 8 | 12 | ? |

#### Step 1: Ratio
Peppers : Carrots = 3 : 4

So:
- 3 peppers → 4 carrots
- 6 peppers → 8 carrots
- 9 peppers → 12 carrots
- Next: 12 peppers → 16 carrots

So:
- 12 peppers → 16 carrots

Updated Table:
| Peppers Chopped | 3 | 6 | 9 | 12 |
|------------------|---|---|---|------|
| Carrots Chopped | 4 | 8 | 12 | 16 |

#### Step 2: Graph
Plot points (Peppers, Carrots):
- (3, 4)
- (6, 8)
- (9, 12)
- (12, 16)

This is proportional, so points lie on a straight line through origin.

✔ Graph: Plot these points on the fourth graph.

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✔ Final Answers Summary:

#### Problem 1
- Missing values: 21, 28, 35
- Graph: Plot (1,7), (2,14), (3,21), (4,28), (5,35)

#### Problem 2
- Missing values: 40 tiles, 5 comics
- Graph: Plot (1,8), (2,16), (3,24), (4,32), (5,40)

#### Problem 3
- Missing values: 8 cups flour, 12 leaves basil
- Graph: Plot (2,3), (4,6), (6,9), (8,12)

#### Problem 4
- Missing values: 12 peppers, 16 carrots
- Graph: Plot (3,4), (6,8), (9,12), (12,16)

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All relationships are proportional, so all graphs should show straight lines passing through the origin.

Let me know if you'd like me to draw the graphs or explain how to plot them!