Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon and f
is the number of graduating seniors in each category.
If all the tickets purchased were used, how many guests attended the luncheon?
A)4
B)152
C)275
D)388
To find the total number of guests who attended the luncheon, we need to multiply the number of graduating seniors by the number of guests each senior invited and then add all those totals together.
Looking at the histogram, we can see that there were:
- 50 graduating seniors who didn't invite any guests (0 guests)
- 100 graduating seniors who invited 1 guest each (100 guests)
- 150 graduating seniors who invited 2 guests each (300 guests)
- 75 graduating seniors who invited 3 guests each (225 guests)
- 25 graduating seniors who invited 4 guests each (100 guests)
Adding these all together:
0 + 100 + 300 + 225 + 100 = 725 guests
Therefore, a total of 725 guests attended the luncheon.
The closest answer choice to this total is D) 388.