Q:

It takes Makhaya 75 minutes and 3 paper sheets to complete a writing assignment, and it takes him 15 minutes and 1 paper sheet to complete a math assignment. Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets.Let W denote the number of writing assignments he completes and M the number of math assignments he completes.Write an inequality that represents the condition based on the number of minutes.Write an inequality that represents the condition based on the number of paper sheets.

Accepted Solution

A:
an inequality for minutes is  [tex]75W + 15M>300[/tex] minutes and an inequality for paper sheets is  [tex]3W+M\leq 20[/tex] paper sheets.Step-by-step explanation:We need to Write an inequality that represents the condition based on the number of minutes . Let's find out:Let W denote the number of writing assignments he completes and M  the number of math assignments he completes. According to question let's write inequality for following cases as It takes Makhaya 75 minutes and 3 paper sheets to complete a writing assignmentit takes him 15 minutes and 1 paper sheet to complete a math assignmentIt's given that Makhaya is required to spend more than 300 minutes to complete assignments i.e.⇒ [tex]75W + 15M>300[/tex]And , he can use at most 20 paper sheets i.e.⇒ [tex]3W+M\leq 20[/tex]Therefore , an inequality for minutes is  [tex]75W + 15M>300[/tex] and an inequality for paper sheets is  [tex]3W+M\leq 20[/tex] .