Answer:
Option (2).
Step-by-step explanation:
Graph of the number of packs of papers required with respect to time represents a linear function.
Let the equation of the line is,
y - y' = m(x - x')
where m = slope of the line
(x', y') = coordinates of a point lying on the line
Since, the given line of the graph passes through two points (8, 2) and (16, 4)
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-2}{16-8}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, equation of the line passing through (8, 2) and slope of the line = [tex]\frac{1}{4}[/tex],
y - 2 = [tex]\frac{1}{4}(x-8)[/tex]
y = [tex]\frac{1}{4}x[/tex]
For x = 28 days,
y = [tex]\frac{28}{4}[/tex]
= 7 packs
Option (2) will be the answer.
