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A proportional relationship is represented by the equation y=5x. Create a table for this relationship.

a)x=1,y=5;x=2,y=10;x=3,y=15
b)x=1,y=4;x=2,y=8;x=3,y=12
c)x=1,y=6;x=2,y=12;x=3,y=18

1 answer

The proportional relationship represented by the equation \( y = 5x \) means that for every value of \( x \), \( y \) is equal to 5 times \( x \).

Let’s create a table for this relationship by plugging in the values of \( x \):

\[ \begin{array}{|c|c|} \hline x & y \ \hline 1 & 5 \times 1 = 5 \ 2 & 5 \times 2 = 10 \ 3 & 5 \times 3 = 15 \ \hline \end{array} \]

Based on the options provided:

  • a) \( x=1, y=5; x=2, y=10; x=3, y=15 \) is correct.
  • b) and c) do not correspond to the equation \( y=5x \).

So, the correct option is a).