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A student creates a table to evaluate the equation y=3x+7 . The student begins the table as shown. Fill in the missing values for the table. (3 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.xFunctiony13(1)+71023(2)+Response areaResponse area3Response area16The option "3" (7 of 8) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

1 answer

To fill in the missing values for the equation \( y = 3x + 7 \), we can substitute the given values of \( x \) into the equation.

Let's evaluate the equation for the given values of \( x \):

  1. For \( x = 1 \): \[ y = 3(1) + 7 = 3 + 7 = 10 \]

  2. For \( x = 2 \): \[ y = 3(2) + 7 = 6 + 7 = 13 \]

  3. For \( x = 3 \): \[ y = 3(3) + 7 = 9 + 7 = 16 \]

Now we can fill in the missing values in the table:

  • For \( x = 1 \), \( y = 10 \)
  • For \( x = 2 \), \( y = 13 \)
  • For \( x = 3 \), \( y = 16 \)

Here is how the completed table looks:

| \( x \) | \( y \) | |---------|-----------| | 1 | 10 | | 2 | 13 | | 3 | 16 |

So the responses to insert into the table are:

  • \( y \) for \( x = 1 \) is 10
  • \( y \) for \( x = 2 \) is 13
  • \( y \) for \( x = 3 \) is 16