Question

Kareem keeps running out of paper in his printer so he decides to keep of how long a package of paper lasts. Based on the graph shown, how many

packages of paper will he need in 28 days?

Answer 1

Option (2).

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 =
`(y_2-y_1)/(x_2-x_1)`

=
`(4-2)/(16-8)`

=
`(1)/(4)`

Therefore, equation of the line passing through (8, 2) and slope of the line =
`(1)/(4)`,

y - 2 =
`(1)/(4)(x-8)`

y =
`(1)/(4)x`

For x = 28 days,

y =
`(28)/(4)`

= 7 packs

Option (2) will be the answer.