Final answer:
The bar diagram would display two bars, one for boys and one for girls, with heights proportional to their numbers on the swim team (9 boys and 15 girls), based on the given ratio of 3:5.
Step-by-step explanation:
The bar diagram would show the ratio of boys to girls on the swim team, which is given as 3:5. With a team of 24 athletes, you would first need to calculate the total number of parts in the ratio by adding 3 parts for boys and 5 parts for girls to get 8 parts in total. Then, divide the total number of athletes by the number of parts to find out how many athletes represent one part of the ratio. In this case, 24 athletes divided by 8 equals 3 athletes per part. Since the ratio of boys to girls is 3:5, you would multiply 3 parts for boys by 3 athletes per part to get 9 boys. Similarly, multiply 5 parts for girls by 3 athletes per part to get 15 girls. The bar diagram would then have a bar representing 9 boys and another bar representing 15 girls.