x and y given correct to 1 decimal are given as 6.2 and 1.3 respectively. What is the upper bound of the value of `x/y?`

Options

A. 5
B. 4.77
C. 5.05
D. 4.96

Answer

To find the upper bound of the value of \( \frac{x}{y} \) where \( x = 6.2 \) and \( y = 1.3 \) (both rounded to one decimal place), we need to first determine the upper bounds of \( x \) and \( y \).

### Step 1: Determine the upper bounds of \( x \) and \( y \)

- The value \( x = 6.2 \) is rounded to one decimal place. Therefore, the upper bound of \( x \) is:
\[ \text{Upper bound of } x = 6.2 + 0.05 = 6.25 \]

- The value \( y = 1.3 \) is also rounded to one decimal place. Therefore, the upper bound of \( y \) is:
\[ \text{Upper bound of } y = 1.3 + 0.05 = 1.35 \]

### Step 2: Calculate the upper bound of \( \frac{x}{y} \)

Now that we have the upper bounds, we can calculate the upper bound of \( \frac{x}{y} \):
\[ \text{Upper bound of } \frac{x}{y} = \frac{\text{Upper bound of } x}{\text{Lower bound of } y} \]

- The lower bound of \( y \) is:
\[ \text{Lower bound of } y = 1.3 - 0.05 = 1.25 \]

Now substituting the values:
\[ \text{Upper bound of } \frac{x}{y} = \frac{6.25}{1.25} \]

### Step 3: Perform the division

Now we perform the division:
\[ \frac{6.25}{1.25} = 5 \]

### Final Result

Thus, the upper bound of the value of \( \frac{x}{y} \) is:
\[ \boxed{5} \]