Answer:
A. The cost of purchasing one pencil.
Explanation:
The slope of the line, m, represents the rate of change in cost per pencil. In other words, it represents how much the cost increases or decreases for each additional pencil purchased. To find the slope, we can use the formula:
m = (change in cost) / (change in number of pencils)
You can calculate the slope m by using two points from the table and the formula for slope: m = (y2 - y1) / (x2 - x1), where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point. For example, using the first two points from the table (3, 1.05) and (7, 2.45),
Using the data from the table, we can calculate:
m = ($2.45 - $1.05) / (7 - 3)
m = $1.40 / 4
m = $0.35
Therefore, the slope of the line is $0.35 per pencil.
The slope of the line represents the rate of change in cost with respect to the number of pencils. In this case, m represents the cost of purchasing one pencil.