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Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.
To find the missing outputs, we need to determine a pattern in the given input-output pairs. We can notice that the output is always 18 less than the input. Using this pattern, we can fill in the missing outputs as follows:
Input (x) Output (y)
32 20
14 2
28 10
-6 -24
-2 -20
-14 -32
-10 -28
The function rule is y = x - 18.
1. Solve the equation.
2x – 3 = 15 (1 point)
x = 6
x = 9
x = 24
x = 36
Add 3 to both sides to isolate the variable:
2x = 18
Divide both sides by 2:
x = 9
Therefore, the solution is x = 9.
To complete the function table, we need to find the pattern between the input (x) and the output (y). Let's observe the numbers and check if there's a consistent relationship between them.
From the given input-output pairs, we can see that the output (y) is always 18 less than the input (x).
For example:
32 - 18 = 14
14 - 18 = -4
-6 - 18 = -24
So, the pattern or function rule can be written as:
y = x - 18
where x represents the input and y represents the output.
Now let's use this function rule to find the missing values in the function table:
Input (x) Output (y)
32 20
14 2
? -4
To find the missing value, let's substitute the inputs into the function rule:
For the first missing value:
x = ?
y = x - 18
20 = ? - 18
? = 20 + 18
? = 38
Therefore, when x is 20, y is 38.
Complete function table:
Input (x) Output (y)
32 20
14 2
? -4
-6 -24
-2 -20
-14 -32
-10 -28
? -38
The missing value for the second missing value is -38.