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Answer :
Let's break down the expression given in the problem:
The expression is [tex]\(\frac{180x}{x + 4} + 250\)[/tex].
In this expression:
- [tex]\(x\)[/tex] represents the number of senior citizens who travel by the company's cabs.
- The constant term is [tex]\(250\)[/tex].
We want to understand what this constant term [tex]\(250\)[/tex] represents in the context of the problem.
1. Analyze the Expression:
- The part [tex]\(\frac{180x}{x + 4}\)[/tex] depends on [tex]\(x\)[/tex], the number of senior citizens.
- The constant term [tex]\(250\)[/tex] is added to this fraction, indicating an additional amount that does not depend on [tex]\(x\)[/tex].
2. Evaluate the Expression with No Senior Citizens:
- If no senior citizens travel by the cabs, this means [tex]\(x = 0\)[/tex].
- Substitute [tex]\(x = 0\)[/tex] into the expression:
[tex]\[
\frac{180 \times 0}{0 + 4} + 250 = 0 + 250 = 250
\][/tex]
- This calculation shows that when there are no senior citizens traveling, the expression simplifies to [tex]\(250\)[/tex].
3. Interpret the Constant [tex]\(250\)[/tex]:
- Since [tex]\(250\)[/tex] is what the expression equals when no senior citizens are traveling, this constant represents the fixed amount a cab driver collects on a particular day when there are no senior citizens traveling by the company's cabs.
Therefore, the constant [tex]\(250\)[/tex] represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.
The correct answer is:
C. The constant 250 represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.
The expression is [tex]\(\frac{180x}{x + 4} + 250\)[/tex].
In this expression:
- [tex]\(x\)[/tex] represents the number of senior citizens who travel by the company's cabs.
- The constant term is [tex]\(250\)[/tex].
We want to understand what this constant term [tex]\(250\)[/tex] represents in the context of the problem.
1. Analyze the Expression:
- The part [tex]\(\frac{180x}{x + 4}\)[/tex] depends on [tex]\(x\)[/tex], the number of senior citizens.
- The constant term [tex]\(250\)[/tex] is added to this fraction, indicating an additional amount that does not depend on [tex]\(x\)[/tex].
2. Evaluate the Expression with No Senior Citizens:
- If no senior citizens travel by the cabs, this means [tex]\(x = 0\)[/tex].
- Substitute [tex]\(x = 0\)[/tex] into the expression:
[tex]\[
\frac{180 \times 0}{0 + 4} + 250 = 0 + 250 = 250
\][/tex]
- This calculation shows that when there are no senior citizens traveling, the expression simplifies to [tex]\(250\)[/tex].
3. Interpret the Constant [tex]\(250\)[/tex]:
- Since [tex]\(250\)[/tex] is what the expression equals when no senior citizens are traveling, this constant represents the fixed amount a cab driver collects on a particular day when there are no senior citizens traveling by the company's cabs.
Therefore, the constant [tex]\(250\)[/tex] represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.
The correct answer is:
C. The constant 250 represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.
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