Question

The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

A what graph represents the situation?
Bwhat is the equation of the line in standard form and slope intercept form?
C how many packs of printer paper should the manager expect to have after 30 days?

Answer 1

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x y

days packs of printer paper used

0 0 (0 days , 0 packs used)

80 140 (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0) and (80,140)

`slope = (y_2-y_1)/(x_2-x_1) = (140-0)/(80-0) = (7)/(4)`

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

`y= (7)/(4) x`

Standard form is Ax + By =C

`y= (7)/(4) x`

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

(c) To find packs of printer paper the manager expect to have after 30 days, Plug in 30 for x and find out y

`y= (7)/(4) x`

`y= (7)/(4)(30)= 52.5`

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5