Final answer:
The correct answer is option c, which results in exactly 133 students, with 19 teams having 7 students each in the after-school sports club.
Step-by-step explanation:
The correct answer is option c. To determine how many teams there were and how many students were on each team, we need to find a multiplication combination that will result in 133 students in total since those are the number of students in the sports club. When we look at the options provided:
- Option a: 11 teams with 12 students each gives us 132 (11 x 12), which is not 133.
- Option b: 14 teams with 9 students each gives us 126 (14 x 9), which is also not 133.
- Option c: 19 teams with 7 students each gives us 133 (19 x 7), which is exactly the number of students.
- Option d: 21 teams with 6 students each gives us 126 (21 x 6), which is not 133.
Only option c correctly accounts for all 133 students in the sports club, proving that there were 19 teams with 7 students each.