Answer :
the restaurant should use 5 times as many potatoes for a party of 60 people compared to a party of 12 people.
The correct option is (B).
To determine how many pounds of potatoes the restaurant should use for a party of 60 people compared to a party of 12 people, we need to find the ratio of the number of people in each party.
Given:
- For a party of 12 people, 4 pounds of potatoes are used.
- For a party of 60 people, we want to find out how many times as many potatoes are needed.
Let's calculate the ratio of the number of people in the two parties:
[tex]\[ \text{Ratio of people} = \frac{\text{Number of people in party of 60}}{\text{Number of people in party of 12}} = \frac{60}{12} = 5 \][/tex]
So, for a party of 60 people, there are 5 times as many people as for a party of 12 people.
Now, let's find the corresponding increase in the amount of potatoes needed:
Since the number of people increased by a factor of 5, the amount of potatoes needed will also increase by the same factor.
Therefore, the restaurant should use 5 times as many potatoes for a party of 60 people compared to a party of 12 people.