Looking at the table, we can see a clear pattern between the
Input and
Output values:
| Input | Output |
|-------|--------|
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |
| 6 | 30 |
| 7 | 35 |
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Step-by-step Analysis:
Let’s check the relationship between input and output:
- When Input = 3 → Output = 15 → 3 × 5 = 15
- When Input = 4 → Output = 20 → 4 × 5 = 20
- When Input = 5 → Output = 25 → 5 × 5 = 25
- When Input = 6 → Output = 30 → 6 × 5 = 30
- When Input = 7 → Output = 35 → 7 × 5 = 35
✔ Pattern Found:
Output = Input × 5
---
Conclusion:
The rule that transforms the input to the output is simply
multiplying the input by 5.
So, for any given input `x`, the output is:
>
Output = 5 × x
This is a linear function: `f(x) = 5x`
---
✔ Final Answer:
The output is always
5 times the input.
For example, if input is 8, output would be 40; if input is 10, output is 50, etc.
Parent Tip: Review the logic above to help your child master the concept of input output function tables.