Question

You need at least 15 pencils or markers. You want to spend at most $14 on pencils and markers. Pencils p are $0.85 each and markers m are $1.45 each. Which system of inequalities models the situation?

Answer 1

.85p + 1.45m <= 14

Explanation:

You don't want to spend more than 14, but you can spend 14. So the inequality must be less than or equal to. To find the combination of pencils and markers you must multiply their price times the number of pencils. Sorry if this explanation isn't amazing, I know how to do work but not explain my reasoning. :)