Question

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.

Answer 1

Answer:

Part a) $75W+15M > 300\ minutes$

Part b) $3W+M \leq 20\ paper\ sheets$

Step-by-step explanation:

Let

W------> the number of writing assignments that Makhaya completes

M-----> the number of math assignments that Makhaya completes

so

case A) Based on the number of minutes

$75W+15M > 300$ -----> inequality that represent the situation based on the number of minutes  

The solution is the shaded area between the positive values of W and M

see the attached figure N 1

case B) Based on the number of paper sheets

$3W+M \leq 20$-----> inequality that represent the situation based on the number of paper sheets

The solution is the triangular shaded area between the positive values of W and M

see the attached figure N 2