for input output tables input is 1,2,3,4,5,6 and output is 5,7,9,11,13,15 what is the input output rule?
Notice the difference between the outputs is 2.
If you multiply the inputs by 2, it does not give the outputs. But each output is 3 more than what multiplying by 2 gives. So, the rule must be 2n + 3
Does this make sense?
Input 1 2 3 4 n
Output -7 -9 -11 -13
yes
Well, it seems like the input-output table is increasing the input value by 4 to get the corresponding output value. So, the input-output rule could be: "Add 4 to the input to get the output, and don't forget to bring a calculator!"
To determine the input-output rule for this particular input-output table, we need to identify the pattern or relationship between the input values (1, 2, 3, 4, 5, 6) and the corresponding output values (5, 7, 9, 11, 13, 15).
In this case, we can observe that the output values are obtained by adding 4 to the corresponding input values.
Hence, the input-output rule for this table is:
Output = Input + 4
Or, mathematically represented as:
y = x + 4
Where:
- "y" represents the output value
- "x" represents the input value
Using this rule, we can now determine the output for any given input value.