To determine the relative frequency (or proportion) of seventh-graders who favor mountains, we need to use the data provided in the table.
From the table, we see that:
- The number of seventh-graders who favor mountains is 40.
- The total number of seventh-graders is 110.
Now, we can calculate the relative frequency using the formula:
\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who favor mountains}}{\text{Total number of 7th graders}} = \frac{40}{110} \]
Calculating this gives:
\[ \frac{40}{110} \approx 0.3636 \]
To express this as a percentage, we multiply by 100:
\[ 0.3636 \times 100 \approx 36.36% \]
Rounding to the nearest tenth, we get:
\[ 36.4% \]
Therefore, the relative frequency of the percent of 7th graders who prefer mountains is 36.4%.