In a bar graph, the length of a bar is 5.5 cm and it represents 450 units. Find the number of units represents by a bar of length 2.2 cm.

Options

A. `150 units`
B. `170 units`
C. `160 units`
D. `180 units`

Explanation

To solve the problem, we need to find out how many units are represented by a bar of length 2.2 cm, given that a bar of length 5.5 cm represents 450 units.

### Step-by-Step Solution:

1. **Understand the relationship between bar length and units**:
We know that the length of the bar (5.5 cm) corresponds to a certain number of units (450 units).

2. **Calculate the units represented by 1 cm**:
To find out how many units are represented by 1 cm, we can use the following formula:
\[ \text{Units per cm} = \frac{\text{Total Units}}{\text{Length of Bar in cm}} = \frac{450 \text{ units}}{5.5 \text{ cm}} \]
Performing the calculation:
\[ \text{Units per cm} = \frac{450}{5.5} = 81.8181 \text{ units/cm} \quad (\text{approximately}) \]

3. **Calculate the units represented by a bar of length 2.2 cm**:
Now that we know how many units are represented by 1 cm, we can find out how many units are represented by a bar of length 2.2 cm:
\[ \text{Units for 2.2 cm} = \text{Units per cm} \times \text{Length of Bar in cm} = 81.8181 \text{ units/cm} \times 2.2 \text{ cm} \]
Performing the calculation:
\[ \text{Units for 2.2 cm} = 81.8181 \times 2.2 \approx 180 \text{ units} \]

### Final Answer:
The number of units represented by a bar of length 2.2 cm is approximately **180 units**.

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