Final answer:
The Howard High School football and lacrosse teams will have a game on the same day again in 28 days, as this is the Least Common Multiple of their game schedules (7 days for football and 4 days for lacrosse).
Step-by-step explanation:
To find out when the Howard High School football team and the lacrosse team will both have a game on the same day again, we need to calculate the Least Common Multiple (LCM) of their game schedules, meaning the smallest number that is a multiple of both 7 and 4. Since the football team has a game every 7 days and the lacrosse team every 4 days, we can list a few multiples of each to find the LCM:
- Multiples of 7: 7, 14, 21, 28, ...
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
The smallest common multiple between the two sets is 28. Thus, after 28 days, both teams will have a game on the same day again.