Use the table to answer the question.x y (x, y) 0   (0, ) 1   (1, ) 2   (2, ) Complete the ordered pairs in the table by finding the y -value of the ordered pairs for the equation y=5x . (1 point)Responses(0, 0), (1, 5), (3, 15)  left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 3 comma 15 right parenthesis(0, 0), (1, 5), (2, 10)left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 2 comma 10 right parenthesis(0, 0), (5, 1), (10, 2)  left parenthesis 0 comma 0 right parenthesis , left parenthesis 5 comma 1 right parenthesis , left parenthesis 10 comma 2 right parenthesis(0, 0), (1, 1/5) , (2, 2/5)

1 answer

To find the \(y\)-values for the ordered pairs in the given table using the equation \(y = 5x\), we can substitute the \(x\) values into the equation.

  1. For \(x = 0\): \[ y = 5(0) = 0 \quad \Rightarrow \quad (0, 0) \]

  2. For \(x = 1\): \[ y = 5(1) = 5 \quad \Rightarrow \quad (1, 5) \]

  3. For \(x = 2\): \[ y = 5(2) = 10 \quad \Rightarrow \quad (2, 10) \]

Thus, the complete ordered pairs are:

  • (0, 0)
  • (1, 5)
  • (2, 10)

The correct response based on the options provided is: \((0, 0), (1, 5), (2, 10)\)