the following numbers are put in a machine and put out, they are in a pattern. if you put in 4.5, what will you get out.
input output
-15 -7
-6 -4
0 -2
3 -1
6 0
12 2
You have a linear relationship netween input and output. Note that every increase of 3 in the input increases the output by 1. 4.5 is 1.5 above 3, so you will 0.5 above -1, or -0.5.
If you were to use algebra, it would be
y = x/3 -2
x is the input and y is the output
find the out put 0 to 25 2 to 55 4 to 85
To identify the pattern and determine the output for inputting 4.5 into the machine, let's examine the relationship between the input and output numbers:
-15 -> -7
-6 -> -4
0 -> -2
3 -> -1
6 -> 0
12 -> 2
From these given pairs, it appears that the output is related to the input by adding 9 to the input value and then subtracting 7. This relationship can be expressed as follows:
Output = (Input + 9) - 7
Now, let's apply this formula to find the output when the input is 4.5:
Output = (4.5 + 9) - 7
Output = (13.5) - 7
Output = 6.5
Therefore, if you input 4.5 into the machine, you will get 6.5 as the output.