Question

PLEASE HURRY!!! (Graphing Linear Equations MC)

A Girl Scout is selling cookies to raise money for her troop. She is given a certain number of cookies to sell and is tracking the number of boxes remaining each day. The table shows the relationship between the number of days she has been selling cookies and the total number of boxes remaining.


Girl Scout Cookie Fundraiser
Time (in days) 1 3 4 7
Number of Boxes 24 18 15 6


Which of the following graphs shows the relationship given in the table?

a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 27 and 2 comma 21

a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 23 and 2 comma 19

a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 25 and 2 comma 19

a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 27 and 2 comma 23

Answer 1

A) a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 27 and 2 comma 21

Explanation:

We can model this situation using a linear function (a line) whose x-coordinate represents the number of days since the girl scout started selling cookies, and whose y-coordinate represents the number of cookie boxes left.

We can create this line by extrapolating it from the 4 given points:

(1, 24)

(3, 18)

(4, 15)

(7, 6)

We can see that the line has a slope of -3 and goes through (0, 27) and (2, 21).

This means that D) is the correct answer.

See the attached image for a graph.