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:

Question

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)

A. 1

B. 3

C. 8

D. 10

Answer 1

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.

The equation for Meg's comic books is given by:
y = mx + b

Substituting x = 2 into the equation for Meg's comic books gives us:
y = 3(2) + 12
y = 6 + 12
y = 18

Therefore, after 2 months, Meg has 18 comic books.

To find out how many more comic books Meg has than Sara after 2 months, we subtract Sara's number of comic books at 2 months from Meg's number of comic books at 2 months:

Difference = Meg's comic books - Sara's comic books
Difference = 18 - (2(2) + 15)
Difference = 18 - (4 + 15)
Difference = 18 - 19
Difference = -1

Therefore, after 2 months, Sara has 1 more comic book than Meg.

The correct answer is:

A. 1