A caterer has determined that the amount of meat to order for a particular entrée varies proportionally to the number of guests. If there are 25 guests, the caterer needs to order 40 pounds of meat. How much meat should the caterer order if there are 100 guests?(1 point)

The amount of meat needed can be calculated using the concept of direct proportion. If the caterer needs 40 pounds of meat for 25 guests, we can set up a ratio to find out how much meat is needed for 100 guests.

First, we determine the amount of meat per guest:

\[ \text{Meat per guest} = \frac{40 \text{ pounds}}{25 \text{ guests}} = 1.6 \text{ pounds per guest} \]

Now, we can calculate the amount of meat needed for 100 guests:

\[ \text{Meat for 100 guests} = 100 \text{ guests} \times 1.6 \text{ pounds per guest} = 160 \text{ pounds} \]

Therefore, the caterer should order 160 pounds of meat for 100 guests.