To determine the relative frequency of the proportion of 7th graders who favor mountains, we can use the formula for relative frequency:
\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who favor mountains}}{\text{Total number of 7th graders}} \]
From the table:
- Number of 7th graders who favor mountains = 40
- Total number of 7th graders = 110
Now, we can plug in these numbers:
\[ \text{Relative Frequency} = \frac{40}{110} \]
Calculating this gives:
\[ \text{Relative Frequency} = 0.3636 \]
To find the percentage, we multiply by 100:
\[ 0.3636 \times 100 = 36.36% \]
Rounding to the nearest tenth gives us:
\[ 36.4% \]
Thus, the relative frequency of the percent of 7th graders who prefer mountains is 36.4%.