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 $

Question

3 years ago

10

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.)

Mathematics

2 answers:

soldier1979 [14.2K] · Answer 1 · 2021-11-18T09:55:00+03:00

If he buys x pens and y pencils

3x + y = 10
x ≤ y

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


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


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).

Hope this helps ^-^

marusya05 [52] · Answer 2 · 2021-11-18T12:05:04+03:00

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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