Question 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) , (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, 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) , (1, 15) , (2, 25) left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma Start Fraction 1 over 5 End Fraction right parenthesis , left parenthesis 2 comma Start Fraction 2 over 5 End Fraction right parenthesis (0, 0) , (1, 5) , (3, 15)

1 answer

To find the y-values for the equation \( y = 5x \), we can substitute the x-values into the equation.

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

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

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

Thus, the ordered pairs to complete the table are:

  • \( (0, 0) \)
  • \( (1, 5) \)
  • \( (2, 10) \)

The correct response is: \[ (0, 0) , (1, 5) , (2, 10) \left(0, 0\right) , \left(1, 5\right) , \left(2, 10\right) \]