Books are $5, Magazines are $2, you have $20 to spend

Question

Graphing question 

Answer 1

Your line is given by the inequality   5x + 2y ≤ 20

where x= # books, y = #magazines.  Also, we are

only dealing with quadrant 1 since x and y will not

be negative.  ...  x≥0, y≥0 ...  x,y are counting numbers including zero.

 

Let's graph the line 5x + 2y = 20

x   |   y

----|-----

0   |  10

4   |  0

 

Plot the point (0, 10) and (4, 0)

Draw a line connecting the two points.

Everything inside quadrant 1 under the line is included in the inequality.

 

            y 

            ↑

        10*

            |\

            |  \

            |    \

            |      \

           0----- *------>x

                    4

Answer 2

4 books no magazines

3 books 2 magazines, $1 remains

2 books 5 magazines

1 book,  7 magazines, $1 remains

 no books, 10 magazines