Question
Look at the new rule in the diagram. Use the new rule to complete the table.
Fill in the output that goes with a given input.
input
Input Output Arrow
subtract 5,
then divide by 4
Input Output Arrow
output
Input Output
21
17
9
29
Fill in the output that goes with a given input.
input
Input Output Arrow
subtract 5,
then divide by 4
Input Output Arrow
output
Input Output
21
17
9
29
Answers
GPT-4o mini
To determine the output based on the new rule "subtract 5, then divide by 4", we will apply this operation to each input value provided in the table.
The formula can be expressed as:
\[ \text{Output} = \frac{(\text{Input} - 5)}{4} \]
Now, let's calculate the output for each input:
1. **For an Input of 21**:
\[
\text{Output} = \frac{(21 - 5)}{4} = \frac{16}{4} = 4
\]
2. **For an Input of 17**:
\[
\text{Output} = \frac{(17 - 5)}{4} = \frac{12}{4} = 3
\]
3. **For an Input of 9**:
\[
\text{Output} = \frac{(9 - 5)}{4} = \frac{4}{4} = 1
\]
4. **For an Input of 29**:
\[
\text{Output} = \frac{(29 - 5)}{4} = \frac{24}{4} = 6
\]
Now we can fill in the outputs:
| Input | Output |
|-------|--------|
| 21 | 4 |
| 17 | 3 |
| 9 | 1 |
| 29 | 6 |
The formula can be expressed as:
\[ \text{Output} = \frac{(\text{Input} - 5)}{4} \]
Now, let's calculate the output for each input:
1. **For an Input of 21**:
\[
\text{Output} = \frac{(21 - 5)}{4} = \frac{16}{4} = 4
\]
2. **For an Input of 17**:
\[
\text{Output} = \frac{(17 - 5)}{4} = \frac{12}{4} = 3
\]
3. **For an Input of 9**:
\[
\text{Output} = \frac{(9 - 5)}{4} = \frac{4}{4} = 1
\]
4. **For an Input of 29**:
\[
\text{Output} = \frac{(29 - 5)}{4} = \frac{24}{4} = 6
\]
Now we can fill in the outputs:
| Input | Output |
|-------|--------|
| 21 | 4 |
| 17 | 3 |
| 9 | 1 |
| 29 | 6 |