Using proportions, the inequality that could be used to determine how many packages of hot dogs Sam needs to buy is:
8p ≥ 56.
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He plans to serve each guest at least one hot dog, hence at least 56 hot dogs. Each package p contains 8 hot dogs, hence the total number of hot dogs with p packages is given by:
T = 8p.
We need that:
T ≥ 56.
Hence the inequality is:
8p ≥ 56.
More can be learned about proportions at https://brainly.com/question/24372153
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