What is a possible rule for the input and output in each table?
-1 0 1 2
-5 -2 1 4
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Each unit increase of the top row variable (x) increases the bottom row variable (y) by 3. Therefore it is a linear relationship, of the form
y = mx + b,
with a slope m = 3.
You should be able to figure out what "b" is, using any pair of numbers from the table.
To find a possible rule for the input and output in each table, we need to identify the pattern between the input values and corresponding output values.
Looking at the given table:
Input: -1 0 1 2
Output: -5 -2 1 4
From the given information, we can see that the output values are obtained by adding 3 to each input value. In other words, the rule can be expressed as:
Output = Input + 3
So, the possible rule for this table is to add 3 to the given input value to obtain the corresponding output value.