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A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks. Number of pages 50 100 150 200. Cost 1.75 2.55 3.35 4.15. Which equation gives the cost, y, in terms of the number of pages, x? A. y = 0.016x + 0.95. B. y = 0.016x + 1.75. C. y = 0.016x + 48.25. D. y = 52.6x + 0.95.

Answer :

The equation that gives the cost, y, in terms of the number of pages, x is y = 0.016x + 0.95. The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query about this specific question.

Answer:

A. y = 0.016x + 0.95.

Step-by-step explanation:

The given table is

Number of pages   Cost

           50                   1.75

           100                 2.55

           150                 3.35

           200                4.15

To find the equation that models this table, we have to first find the ratio of change between the number of pages and the cost.

We observe, while the number of pages increases by 50, the cost increases by 0.8, that means

[tex]m=\frac{0.8}{50} =0.016[/tex]

Having the ratio of change, we can get the equation by using the point-slope formula, and one pair from the table

[tex]y-y_{1} =m(x-x_{1} )\\y-1.75=0.016(x-50)\\y=0.016x-0.8+1.75\\y=0.016x+0.95[/tex]

Now, if we look the choices, the right answer would be A.

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