Fill in the blanks!

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.

x - Function - y
1 - 3 (1) + 7 - 10
2 - 3 (2) + _ - _
3 - _ - 16

Word Bank:
7
3 (4) + 7
13
16
22
3
3 (3) + 7
3x + 7

1 answer

Let's evaluate the equation y = 3x + 7 for the given values of x and fill in the blanks in the table.

For x = 1, we have: \[ y = 3(1) + 7 = 3 + 7 = 10 \] (This value is already filled in the table.)
For x = 2, we calculate: \[ y = 3(2) + 7 = 6 + 7 = 13 \] So, we can fill in the blanks:
- x = 2: Function is \( 3(2) + 7 \) and y = 13.
For x = 3, we calculate: \[ y = 3(3) + 7 = 9 + 7 = 16 \] (This value is already filled in the table.)

Now, we can summarize the filled table:

| x | Function | y | |---|----------------|----| | 1 | 3(1) + 7 | 10 | | 2 | 3(2) + 7 | 13 | | 3 | 3(3) + 7 | 16 |

Now, the missing values in the blanks are filled as follows:

For the second row: Function = 3(2) + 7 and y = 13.
The third row is already complete with Function = 3(3) + 7, which gives y = 16.

So the final answers for the blanks are:

In the second row: 7 (function part) and 13 (y-value).
The third row is completed already.

If we wanted to represent the final filled-in row clearly:

x = 2, Function = 3(2) + 7, y = 13.

Additionally, the values we used from the word bank are:

7 and 13.