Question

this equation represents the situation: comic books cost $2 each and magazines cost $4 each. how many comic books and magazines can you buy with exactly $30? plot the solutions (3, 6) and (13, 1) on the graph. $2c + 4m = 30$ (and the graph with c as number of comic books on x - axis and m as number of magazines on y - axis, grid from 0 - 15 for c and 0 - 9 for m)

Explanation:

Step1: Identify coordinate axes

The horizontal axis ($c$) = number of comic books, vertical axis ($m$) = number of magazines.

Step2: Plot point (3, 6)

Locate $c=3$ on horizontal axis, $m=6$ on vertical axis; mark their intersection.

Step3: Plot point (13, 1)

Locate $c=13$ on horizontal axis, $m=1$ on vertical axis; mark their intersection.

Step4: Verify points satisfy equation

For (3,6): $2(3)+4(6)=6+24=30$.
For (13,1): $2(13)+4(1)=26+4=30$.

Answer:

• The point (3, 6) is plotted at the intersection of the horizontal value 3 (comic books) and vertical value 6 (magazines).
• The point (13, 1) is plotted at the intersection of the horizontal value 13 (comic books) and vertical value 1 (magazines).

All valid non-negative integer solutions for the equation are: (1,7), (3,6), (5,5), (7,4), (9,3), (11,2), (13,1), (15,0)