A bar graph is drawn to the scale of 1 cm = x units. In it, the length of a bar representing a quantity of 702 units is 3.6 cm. Find x.

Options

A. 165
B. 175
C. 185
D. 195

Answer

To solve the problem step by step, we will find the value of \( x \) using the information given about the bar graph.

### Step 1: Understand the scale of the bar graph
The scale of the bar graph is given as:
\[ 1 \text{ cm} = x \text{ units} \]

### Step 2: Identify the length of the bar and the corresponding quantity
We know that a bar representing a quantity of 702 units has a length of 3.6 cm.

### Step 3: Set up the relationship between the length of the bar and the quantity
Since the length of the bar (3.6 cm) corresponds to 702 units, we can express this relationship as:
\[ 3.6 \text{ cm} = 702 \text{ units} \]

### Step 4: Find the number of units represented by 1 cm
To find out how many units are represented by 1 cm, we can set up the following equation:
\[ \text{Units in 1 cm} = \frac{702 \text{ units}}{3.6 \text{ cm}} \]

### Step 5: Calculate the units in 1 cm
Now we perform the division:
\[ \text{Units in 1 cm} = \frac{702}{3.6} \]

To simplify this calculation, we can convert 3.6 into a fraction:
\[ 3.6 = \frac{36}{10} = \frac{18}{5} \]
Thus, we can rewrite the division:
\[ \frac{702}{3.6} = \frac{702 \times 5}{18} \]
Now, we can simplify:
\[ = \frac{3510}{18} \]

### Step 6: Perform the division
Now we divide 3510 by 18:
\[ 3510 \div 18 = 195 \]
So, we find that:
\[ 1 \text{ cm} = 195 \text{ units} \]

### Step 7: Relate this back to the scale
Since we have established that:
\[ 1 \text{ cm} = x \text{ units} \]
and we found that:
\[ 1 \text{ cm} = 195 \text{ units} \]
we can conclude that:
\[ x = 195 \]

### Final Answer
Thus, the value of \( x \) is:
\[ \boxed{195} \]

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