my daughter came home with input/output table don't understand how to do it
Input Output
4 33
5 36
11 54
16 69
You must add 3 for all next output number.
Series:
4 33
5 36
6 39
7 42
8 45
9 48
10 51
11 54
12 57
13 60
14 63
15 66
16 69
OR:
1 24
2 27
3 30
4 33
5 36
6 39
7 42
8 45
9 48
10 51
11 54
12 57
13 60
14 63
15 66
16 69
17 72
18 75 etc
Input/output tables, also known as function tables, are a way to express the relationship between input values and their corresponding output values. In this case, the table shows the input values and their corresponding output values for a function. To understand how to fill in the rest of the table or find the rule for the function, we need to look for patterns in the given data points.
Let's analyze the given data points:
Input 4 corresponds to Output 33.
Input 5 corresponds to Output 36.
Input 11 corresponds to Output 54.
Input 16 corresponds to Output 69.
By examining the input and output values, we can try to determine the pattern or rule:
1. Look for any consistent changes or relationships between the input and output values.
2. Check if there is a constant difference or ratio between the input and output values.
In this case, let's first look at the changes in the output values:
From Input 4 to Input 5, the output increases by 3 (from 33 to 36).
From Input 5 to Input 11, the output increases by 18 (from 36 to 54).
From Input 11 to Input 16, the output increases by 15 (from 54 to 69).
By observing these changes, we can see that the output value increases by a constant amount for each subsequent input value. In this case, the output value increases by 3, 18, and 15 respectively.
So, it seems that the rule or pattern for this input/output table is that the output value is obtained by adding a specific constant value to the input value.
We can find this constant value by comparing the changes in the output values between two consecutive input values:
From Input 4 to Input 5, the output increases by 3.
From Input 5 to Input 11, the output increases by 18.
The difference between these two changes is 18 - 3 = 15.
Therefore, the constant value we are adding to the input value is 15.
To complete the table, we can apply this rule to find the output values for the remaining input values:
Input 4 + 15 = 19
Input 5 + 15 = 20
Input 16 + 15 = 31
So, the missing output values for the remaining input values are:
Input 4 corresponds to Output 33.
Input 5 corresponds to Output 36.
Input 11 corresponds to Output 54.
Input 16 corresponds to Output 69.
Input 19 corresponds to Output 48.
Input 20 corresponds to Output 51.
Input 31 corresponds to Output 84.
Remember, the key to solving input/output tables is to identify the pattern or rule by carefully examining the given data points and looking for consistent changes or relationships between the input and output values.