Final answer:
To find out how much food to prepare for 950 people with 830 pounds already eaten at breakfast, a proportion based on previous meal preparation statistics is used, yielding approximately 2,314 pounds of food needed.
Step-by-step explanation:
To solve the problem of how much food the kitchen on a cruise ship should prepare if 950 people stay and 830 pounds of food were eaten at breakfast, we need to establish a proportion based on the given information. We know that the kitchen prepares 1,250 pounds of food for 800 people. To find the amount of food needed for 950 people, we set up the following proportion:
1,250 pounds / 800 people = x pounds / 950 people
Solving for x gives us:
(1,250 pounds × 950 people) / 800 people = x
And after performing the calculations:
(1,187,500 / 800) pounds = x
x approximately equals 1,484.375 pounds. Since 830 pounds of food were already consumed at breakfast, we need to add this to our total:
1,484.375 pounds + 830 pounds = 2,314.375 pounds
After rounding to the nearest pound, we have an approximate total of 2,314 pounds of food that should be prepared.
The correct option is Option 2: 2,148 lbs of food, which is an underestimate of the need. No other option comes close to the calculated amount of 2,314 pounds.