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Answer :
To solve this problem, we need to create a function rule that describes the relationship between the input and the output.
The problem states that "The output is eleven more than the input [tex]\(x\)[/tex]." Let's break it down into steps:
1. Identify the Variables:
- The input is represented by the variable [tex]\(x\)[/tex].
- The output is represented by the variable [tex]\(y\)[/tex].
2. Express the Relationship:
- According to the problem, the output [tex]\(y\)[/tex] is eleven more than the input [tex]\(x\)[/tex].
3. Write the Function Rule:
- To express "eleven more than [tex]\(x\)[/tex]," we add 11 to [tex]\(x\)[/tex].
- So, the relationship between the input [tex]\(x\)[/tex] and the output [tex]\(y\)[/tex] can be written as:
[tex]\[
y = x + 11
\][/tex]
This equation, [tex]\(y = x + 11\)[/tex], is the function rule that describes the output as eleven more than the input [tex]\(x\)[/tex].
The problem states that "The output is eleven more than the input [tex]\(x\)[/tex]." Let's break it down into steps:
1. Identify the Variables:
- The input is represented by the variable [tex]\(x\)[/tex].
- The output is represented by the variable [tex]\(y\)[/tex].
2. Express the Relationship:
- According to the problem, the output [tex]\(y\)[/tex] is eleven more than the input [tex]\(x\)[/tex].
3. Write the Function Rule:
- To express "eleven more than [tex]\(x\)[/tex]," we add 11 to [tex]\(x\)[/tex].
- So, the relationship between the input [tex]\(x\)[/tex] and the output [tex]\(y\)[/tex] can be written as:
[tex]\[
y = x + 11
\][/tex]
This equation, [tex]\(y = x + 11\)[/tex], is the function rule that describes the output as eleven more than the input [tex]\(x\)[/tex].
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