To find the relative frequency of the percentage of 7th graders who prefer mountains, we can use the following formula:
\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who prefer mountains}}{\text{Total number of 7th graders}} \]
From the table:
- The number of 7th graders who prefer mountains = 40
- The total number of 7th graders = 110
Now, we can calculate the relative frequency:
\[ \text{Relative Frequency} = \frac{40}{110} \approx 0.363636 \]
To convert this to a percentage, we multiply by 100:
\[ \text{Percentage} = 0.363636 \times 100 \approx 36.3636% \]
Rounding to the nearest tenth gives us:
\[ \text{Rounded Percentage} \approx 36.4% \]
Thus, the relative frequency of the percent of 7th graders who prefer mountains is 36.4%.