1. The ratio of the number of boys to the number of girls in a class is \( 3: 4 \). Which of the following could describe the population of students in that class? Select ALL that apply.

In a class where the ratio of boys to girls is \( 3:4 \), we can express the number of boys as \( 3x \) and the number of girls as \( 4x \) for some positive integer \( x \). Therefore, if we look for suitable totals, any combination of boys and girls must maintain this proportion. For example, if \( x = 1 \), there would be 3 boys and 4 girls (totaling 7 students), while \( x = 2 \) would yield 6 boys and 8 girls (totaling 14 students). To ensure the populations maintain the \( 3:4 \) ratio, potential valid totals could be 7 (3 boys and 4 girls), 14 (6 boys and 8 girls), or even 21 (9 boys and 12 girls). Just keep the ratio in check—if the total number isn't a multiple of 7 (like 10 or 11), it won't work.