Question

How do I write a system of inequalities based on a maximum of 480 people on a bus and for every 8 kids, one adult is needed?

How to set up the variables and write the system of inequalities.

Answer 1

Here's how I did it:

Explanation:

Maximum means that everything must be equal to or less than the number. So the number of people on the bus must be equal to less than (`<=`) `480`.

We need one adult per `8` kids, so let's let `x` be the number of adults.

The inequality then becomes:
`8x <= 480`

Extra:
If you want to solve this you just divide both sides by `8`, and you should get `x <= 60`.