Graphing Ratio Tables worksheet - Free Printable

Let's solve the problem step by step.

---

Problem 2: Erasers cost 5 cents each at the school store.

We are given a table showing the number of erasers and their corresponding cost in cents.

| Number of Erasers | Cost (¢) |
|-------------------|----------|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |

---

Part a: List this information as ordered pairs (number of erasers, cost)

An ordered pair is written as (x, y), where:
- x = number of erasers
- y = cost in cents

So we convert each row:

- 1 eraser → 5¢ → (1, 5)
- 2 erasers → 10¢ → (2, 10)
- 3 erasers → 15¢ → (3, 15)
- 4 erasers → 20¢ → (4, 20)

✔ So the ordered pairs are:
- (1, 5)
- (2, 10)
- (3, 15)
- (4, 20)

Now fill them into the four rectangles provided:

```
[ (1, 5) ] [ (2, 10) ]
[ (3, 15) ] [ (4, 20) ]
```

---

Part b: Pick out the correct ordered pairs from 2a, graph them, then describe the graph

From part a, the correct ordered pairs are:
- (1, 5)
- (2, 10)
- (3, 15)
- (4, 20)

Now look at the list of options given on the right side:

- (5,1) ✘
- (1,5) ✔
- (4,20) ✔
- (10,2) ✘
- (2,10) ✔
- (20,4) ✘
- (15,3) ✘
- (3,15) ✔

✔ So the correct ones to pick are:
- (1,5)
- (2,10)
- (3,15)
- (4,20)

---

Graphing the Points

On the coordinate plane:
- The x-axis represents the number of erasers.
- The y-axis represents the cost in cents.

Plot each point:
- (1, 5): go to x=1, y=5 → plot a dot
- (2, 10): x=2, y=10
- (3, 15): x=3, y=15
- (4, 20): x=4, y=20

These points lie in a straight line starting from the origin (0,0) if extended.

---

Describe the Graph

The graph shows a straight line that passes through the origin (0,0) and increases steadily. This indicates a linear relationship between the number of erasers and the total cost.

Since each eraser costs 5 cents, the cost increases by 5 for every additional eraser.

This is a proportional relationship, meaning:
- The ratio of cost to number of erasers is constant:
$ \frac{5}{1} = \frac{10}{2} = \frac{15}{3} = \frac{20}{4} = 5 $

So, the unit rate is 5 cents per eraser.

---

✔ Final Answers:

#### a. Ordered Pairs:
- (1, 5)
- (2, 10)
- (3, 15)
- (4, 20)

(Place one in each rectangle.)

#### b. Correct Ordered Pairs to Graph:
- (1, 5)
- (2, 10)
- (3, 15)
- (4, 20)

Graph: Plot these points on the grid.

Description: The graph is a straight line passing through the origin, showing a proportional relationship. The cost increases by 5 cents for each additional eraser. The relationship can be modeled by the equation:
$$
\text{Cost} = 5 \times \text{Number of Erasers}
$$

Or in math terms:
$$
y = 5x
$$

---

Let me know if you'd like a visual sketch of the graph!