Question

Roger is having a picnic for 78 guest he plans to serve each guest at least one hotdog if each package P contains eight hotdogs which inequality could be used to determine how many packages of hot dogs Roger will need to buy

Answer 1

Amount=number of hotdogs per package times number of packages
amount=8 times P
amount=8P

amount must be equal to or greater than 78 since each guest wants 1 at least
amount>78
8P>78
(if you wanted to solve, the answer is at least 10 packages)