The problem states that 30 people answered a survey about their favorite book genres. A pie chart is provided showing the distribution of favorite book genres, with the angles representing the proportion of people who chose each genre. The question asks how many people said travel was their favorite book genre. The angle corresponding to "Travel" is $48^\circ$.

1. Problem Description

The problem states that 30 people answered a survey about their favorite book genres. A pie chart is provided showing the distribution of favorite book genres, with the angles representing the proportion of people who chose each genre. The question asks how many people said travel was their favorite book genre. The angle corresponding to "Travel" is $48^\circ$.

2. Solution Steps

The total angle in a pie chart is $360^\circ$. The fraction of people who said travel is their favorite genre is the angle corresponding to travel divided by the total angle:

$\frac{48^\circ}{360^\circ}$.

We simplify this fraction.

$\frac{48}{360} = \frac{24}{180} = \frac{12}{90} = \frac{6}{45} = \frac{2}{15}$.

Thus, the fraction of people who like "Travel" is $\frac{2}{15}$.

Since there are 30 people in total, the number of people who like travel is $\frac{2}{15}$ of

3

0. Number of people = $\frac{2}{15} \times 30 = \frac{2 \times 30}{15} = \frac{60}{15} = 4$.

3. Final Answer

4 people said travel was their favorite book genre.