Tom has $10 that he wants to use to buy pens and pencils. however, he does not want to buy more pens than pencils. a pen costs $3, and a pencil costs $1. which graph represents this scenario? (here, x represents the number of pens and y the number of pencils.)

Hello!

We 1st off, know that number of pencils = x

and that the number of pens = y

So now the Solving!:

3x + y = 10
x ≤ y

Draw the line 3x + y = 10 .[it passes by (0,10) and (-10/3,0)

Draw the line y=x [it passes by (0,0), (1,1), (2,2) etc]

Then the solution is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).

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