Question

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, what inequality could be used to determine how many packages of hot dogs Roger will need to buy?

Answer 1

Roger needs to serve 78 hotdogs or more. The hotdogs come in packages of `8`

`* * * * * * * * * * * * * * * * * * *`

Since the hotdogs come in packs of `8`, our variable will be `8x`. And since we need `78` hotdogs or more, we'll use `<=` (greater than)

`8x <= 78`

`x <= 9.75`

This says we need to buy `9.75` packages of `8` hotdogs to have enough for everyone. But unless someone took `25%` of a package, people don't sell `0.75` of a hotdog package. So we would need to get whole packages