Final answer:
The average number of guests per week over the Autumn season is calculated by determining the total for the first 5 weeks with 90 guests per night and the total for the remaining 8 weeks with 75 guests per night, then dividing the grand total by the number of weeks, which results in 565.4 guests per week to one decimal place.
Step-by-step explanation:
Average number of guests per week over the Autumn season is calculated by finding the total number of guests for all the weeks and then dividing by the total number of weeks. Since there are two different averages for parts of the season, we calculate the total guests for each part separately before combining them.
For the first 5 weeks: 90 guests per night
Total = 90 guests/night × 7 nights/week × 5 weeks = 3150 guests
For the remaining 8 weeks: 75 guests per night
Total = 75 guests/night × 7 nights/week × 8 weeks = 4200 guests
Overall total guests for 13 weeks = 3150 guests + 4200 guests = 7350 guests
The total number of weeks = 5 weeks + 8 weeks = 13 weeks.
To find the average guests per week, we divide the total number of guests by the total number of weeks:
Average = Total guests / Total number of weeks
= 7350 guests / 13 weeks
To one decimal place, the average is 565.4 guests per week.