complete the input and output table.

Question

x
Input Output Arrow
2x+3
Input Output Arrow
y

y=2x+3
x y
8
1
2
−5

Answer 1

To complete the input and output table for the given equation \( y = 2x + 3 \), we will calculate the corresponding value of \( y \) for each value of \( x \) provided in the table.

Here are the values we need to calculate:

1. For \( x = 8 \): \[ y = 2(8) + 3 = 16 + 3 = 19 \]

2. For \( x = 1 \): \[ y = 2(1) + 3 = 2 + 3 = 5 \]

3. For \( x = 2 \): \[ y = 2(2) + 3 = 4 + 3 = 7 \]

4. For \( x = -5 \): \[ y = 2(-5) + 3 = -10 + 3 = -7 \]

Now we can fill in the output \( y \) values corresponding to the \( x \) inputs:

| \( x \) | \( y = 2x + 3 \) | |---------|------------------| | 8 | 19 | | 1 | 5 | | 2 | 7 | | -5 | -7 |

So the completed input and output table is:

| \( x \) | \( y \) | |---------|---------| | 8 | 19 | | 1 | 5 | | 2 | 7 | | -5 | -7 |