Using input output tables input 3 4 5 6 0 10. Output 9 16 25 36 0 100 what is the input output rule?
add 1
the rule is to multiply the input by the input by itself?
3, 4, 5, 6, 0, 10
9, 16, 25, 36, 0, 100
3x3 = 9
4x4 = 16
5x5 = 25
6x6 = 36
0x0 = 0
10x10 = 100
The operation I see is that all these numbers are multiplied by its value.
Input Output
3 9
4 16
5 25
6 36
0 0
10 100
Trick Question I am guessing?
input 6,8,4,1 output 14,18,6,4
in (a) 63 45 90 36
out(b) 7 5 10 4
To determine the input-output rule, let's analyze how the output values are obtained from the given input values in the table.
We can see that the output values are obtained by squaring the corresponding input values. In other words, each input value is multiplied by itself.
Therefore, the input-output rule for this table can be defined as: "Square the input values to obtain the output values."
This can also be expressed as the mathematical equation: Output = Input^2.
For example:
- When the input is 3, the squared value is 9, which matches the output of 9.
- When the input is 4, the squared value is 16, which matches the output of 16.
- When the input is 5, the squared value is 25, which matches the output of 25.
- And so on...
By following this rule, all the given input-output pairs are correctly matched, indicating that squaring the input values is the consistent pattern in this table.