A caterer has determined that the amount of meat to order for a particular entree varies proportionally to the number of guests if there are 25 guests the caterer needs to order 40 lb of meat how much meat should Decatur order if they're 100 guests

If the amount of meat needed varies proportionally to the number of guests, then we can set up a proportion to solve for the amount of meat needed for 100 guests:

25 guests = 40 lb
100 guests = x lb

Using the proportion:

25/100 = 40/x

Cross multiply:

25x = 4000
x = 160

Therefore, Decatur should order 160 lb of meat if there are 100 guests.