Sara and Meg buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Sara has after x months:

y = 2x + 15

The following graph shows the number of comic books, y, that Meg has after x months:

Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 28 at increments of 4. The title of the graph is Megs Comic Books. A straight line is shown which joins the ordered pair 0, 12 and 4, 28
After 2 months, how many more comic books does Meg have than Sara? (5 points)

1

3

8

10

1 answer

To find out how many more comic books Meg has than Sara after 2 months, we need to substitute x = 2 into the equation for Meg's comic books and then subtract the equation for Sara's comic books from it.

For Meg after 2 months:
y = mx + c
y = 8/4 * 2 + 12
y = 4 + 12
y = 16

For Sara after 2 months:
y = 2x + 15
y = 2 * 2 + 15
y = 4 + 15
y = 19

To find how many more comic books Meg has than Sara, we subtract Sara's total from Meg's total:
Meg - Sara = 16 - 19
Meg - Sara = -3

Therefore, after 2 months, Meg has 3 fewer comic books than Sara.