What is 0 thru 5 and output on
Input. Output
5. 17
8. 26
12. 38
20. 62
The relationship between the input and output values cannot be determined based on the given information. Therefore, it is not possible to determine the output values for inputs of 5, 8, 12, and 20.
To find the output based on the given input, we can observe a pattern in the outputs. Let's break it down:
Input: 5
Output: 17
Input: 8
Output: 26
Input: 12
Output: 38
Input: 20
Output: 62
It seems that the output is dependent on the input value. To determine the relationship between the input and output, we can look for patterns in the differences between consecutive input-output pairs:
The difference between the 2nd and 1st output: 26 - 17 = 9
The difference between the 3rd and 2nd output: 38 - 26 = 12
The difference between the 4th and 3rd output: 62 - 38 = 24
The differences aren't constant, but they are increasing. Therefore, we can deduce that the relationship between the input and output is not linear.
To find a function that generates these outputs, we need to find a pattern in the differences between the output values. By examining the sequence of differences, we can observe another pattern:
First difference: 9
Second difference: 3
The second difference is constant. This suggests that the function generating the output is a quadratic function.
Now, let's try to derive a quadratic function based on the given inputs and outputs:
If we assume that the quadratic function is of the form: f(x) = ax^2 + bx + c, where x represents the input and f(x) represents the output.
Using the values for input and output, we can create a system of equations:
For input x = 5:
17 = 25a + 5b + c
For input x = 8:
26 = 64a + 8b + c
For input x = 12:
38 = 144a + 12b + c
Solving these equations simultaneously will yield the values of a, b, and c, which will allow us to determine the quadratic function that generates the given outputs for the specified inputs.
To find the output values based on the input values given, let's analyze the pattern:
Using the given set of input/output pairs:
Input: 5, Output: 17
Input: 8, Output: 26
Input: 12, Output: 38
Input: 20, Output: 62
Let's try to find a relationship or pattern between the input and output values.
By observing the outputs, we can see that each output is obtained by multiplying the input by 3 and adding 2.
Therefore, the formula for the output based on the input is:
Output = (Input * 3) + 2
Applying this formula to the given input values, we get:
For Input: 5
Output = (5 * 3) + 2
Output = 15 + 2
Output = 17
For Input: 8
Output = (8 * 3) + 2
Output = 24 + 2
Output = 26
For Input: 12
Output = (12 * 3) + 2
Output = 36 + 2
Output = 38
For Input: 20
Output = (20 * 3) + 2
Output = 60 + 2
Output = 62
So, for the given set of input values (5, 8, 12, 20), the corresponding output values are (17, 26, 38, 62).