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umka2103 [35]
2 years ago
7

The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil

l 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?

Mathematics
1 answer:
Mandarinka [93]2 years ago
8 0

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 = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{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= \frac{7}{4} x

Standard form is Ax + By =C

y= \frac{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= \frac{7}{4} x

y= \frac{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


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