Write a relation representing the information in the table.
Input:
1
2
3
4
Output:
6
8
10
14
(Pretend those columns are next to each other)
I don't understand why it says 14 at the last output since I think it should be 12 (because it is the +4 rule, not +2).
My answer key says:
The output values increase by two for every increase of one in the inputs. This is the rate of change.
The starting point is 4.
The relation is 2x + 4 relates to x.
I dare ask, might this be an error in the workbook? Or am I getting something wrong?
I agree it should be 12
There are functions which could make it 14, but I doubt they would be appropriate for this problem.
To understand why the last output is 14 instead of 12, let's break down the given relation, which is "2x + 4 relates to x."
In this relation, "2x" represents the rate of change, and "+4" represents the starting point or initial value.
To find the output values for the given inputs, we substitute each input value (1, 2, 3, 4) into the relation and solve for the output.
For the first input, when x is 1:
Output = 2(1) + 4 = 2 + 4 = 6
For the second input, when x is 2:
Output = 2(2) + 4 = 4 + 4 = 8
For the third input, when x is 3:
Output = 2(3) + 4 = 6 + 4 = 10
For the fourth input, when x is 4:
Output = 2(4) + 4 = 8 + 4 = 12
Therefore, based on this relation, the outputs for the given inputs are 6, 8, 10, and 12, respectively.
If the answer key states that the last output is 14, it might have been a mistake or typo. It should indeed be 12 based on the provided relation.