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 Math Central Quandaries & Queries
 Question from Marisol, a parent: A table value X 0,1,2,3,4,5,6 and Y 3,7,11,15,19,23,27 . what relationship of X to Y is represent by which equation? A . y= 4x. B y =x+3 . C y =4x+3 or . D y =4x-3

Hi Marisol,

I put the values in a table.

X Y
0 3
1 7
2 11
3 15
4 19
5 23
6 27

From the table when $X = 0$ you must have $Y = 3.$ Look at the 4 possible relationships. Both B and C give $Y = 3$ when $X = 0$ but A gives $Y = 0$ when $X = 0$ and D gives $Y = -3$ when $X = 0.$ Thus neither A nor D is the correct answer.

From the second row of the table, when $X = 1$ you must have $Y = 7.$ Which of the remaining options, B or C gives this result? Check that this option gives the correct result for the remaining rows in the table.

Penny

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