Answer:
14 3/4 Page
Explanation:
We need to figure out the cost per sheet.
The cost increase 50 (150 - 100)
The number of sheets increased 1/4 (1/2 - 1/4)
50 ÷ 1/4 is the same as
50 x 4 = 200
I get the same increase from 150 - 250
The cost increases 100 (250 - 150)
The number of pages increases 1/2 (1 - 1/2)
100 ÷ 1/2 is the same as
100x 2 = 200
Now we need to find the initial cost. We will us the 1 page cost 250 to find this amount out
y = mx + b
y is the cost, in this case 250
m is cost per page which is 200
x is the cost for 1 sheet
b is the initial cost.
y = mx + b
250 = 200(1) + b
250 = 200 + b Subtract 200 from both sides
50 = b
The equation is
y = mx + b Plug in 200 for m and 50 for b. This b value could be a cost charged to everyone to help pay for overhead costs like the cost of the machine that makes the pages.
y = 200x + 50
Use this equation to calculator the number of pages that can be purchased for 3000
3000 = 200 x + 50 Solve for x, the number of pages Subtract 50 from both sides
2950 = 200x Divide both sides by 200
x = 14.75 or 14 3/4 sheets
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