Whats my rule
Input 140. Output. 22
Input 100. Output. 62
Input. 91. Output. 71
So if the input is 10 what is the output?
Looks like output increases by the amount the input decreases. So, I'd say
y = 162-x
Now you can figure out y(10)
To find the rule or pattern in the given inputs and outputs, we need to analyze the differences between the inputs and outputs.
Let's look at the differences between the inputs and outputs:
Input 140: Output 22
Input 100: Output 62
Input 91: Output 71
To find the pattern, we observe that the difference between the input and output is decreasing by 2 each time. Let's calculate the differences explicitly:
140 - 22 = 118
100 - 62 = 38
91 - 71 = 20
The differences are decreasing by 2 each time: 118, 38, 20.
Now, if we continue this pattern, the next difference should be 20 - 2 = 18. So we can find the next output by subtracting 18 from the next input:
10 - 18 = -8
Therefore, if the input is 10, the output would be -8 according to the pattern we observed.