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Use the table to answer the question. zy (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) (0, 0); (1, 5); (2, 10); (0, 0); (1, 5); (3, 15) ○ (0, 0); (1, 1/5); (2, 2/5); (0, 0); (5, 1); (10, 2)

5 answers

The equation given is \( y = 5x \). We can find the y-values by substituting the x-values from the table 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 \( x = 2 \): \[ y = 5(2) = 10 \quad \Rightarrow \quad (2, 10) \]
  4. For \( x = 3 \): \[ y = 5(3) = 15 \quad \Rightarrow \quad (3, 15) \]

So the completed ordered pairs based on the equation \( y = 5x \) are:

  • (0, 0)
  • (1, 5)
  • (2, 10)
  • (3, 15)

The correct answer from the options given is:

  • (0, 0); (1, 5); (2, 10); (3, 15)
My answers are
(0, 0), (1, 5), (2, 10)
(0, 0), (1, 5), (3, 15)
(0, 0), (1, 1/5), (2, 2/5)
(0, 0), (5, 1), (10, 2)

Given the options you provided, let's analyze them against the equation \( y = 5x \) to see which one is correct.

  1. (0, 0), (1, 5), (2, 10):

    • This one is correct based on our calculations. \( y = 5(0) = 0 \), \( y = 5(1) = 5 \), \( y = 5(2) = 10 \).

  2. (0, 0), (1, 5), (3, 15):

    • This one is also correct. \( y = 5(3) = 15 \) is valid alongside the others.

  3. (0, 0), (1, 1/5), (2, 2/5):

    • This is incorrect. For \( x = 1 \), \( y \) should be \( 5(1) = 5 \), not \( 1/5 \). For \( x = 2 \), \( y \) should be \( 5(2) = 10 \), not \( 2/5 \).

  4. (0, 0), (5, 1), (10, 2):

    • This is also incorrect. For \( x = 5 \), \( y \) should be \( 5(5) = 25 \), not \( 1 \). For \( x = 10 \), \( y \) should be \( 5(10) = 50 \), not \( 2 \).

Based on this analysis, the correct answers that match the equation \( y = 5x \) are the first two options:

  • (0, 0), (1, 5), (2, 10)
  • (0, 0), (1, 5), (3, 15)

Both of these sets of ordered pairs correctly reflect the values calculated using the given equation.

So what one?

The correct option from your list that matches the equation \( y = 5x \) is:

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

This set of ordered pairs clearly corresponds to the calculated values from the equation.

While (0, 0), (1, 5), (3, 15) is also mathematically correct, it doesn't include the second x-value of 2, so it doesn't match the table as provided.

Therefore, you should choose the first option: (0, 0), (1, 5), (2, 10).