Answer :
To understand what the constant term in the expression [tex]\(\frac{180r}{x+4} + 250\)[/tex] represents, let's break down the expression:
1. Understanding the Expression:
- The expression [tex]\(\frac{180r}{x+4}\)[/tex] represents a variable part that depends on the number of senior citizens, [tex]\(x\)[/tex], traveling by the company's cabs.
- The constant term is [tex]\(250\)[/tex].
2. Analyzing the Constant:
- A constant term in an expression usually represents a fixed amount that does not change with the variable [tex]\(x\)[/tex].
- In this context, it represents a base amount that the cab driver collects, regardless of the number of senior citizen passengers.
3. What Does It Mean When [tex]\(x = 0\)[/tex]?:
- Let's consider the scenario when no senior citizens travel using the cabs, meaning [tex]\(x = 0\)[/tex].
- In this case, the variable part of the expression, [tex]\(\frac{180r}{x+4}\)[/tex], becomes [tex]\(\frac{180r}{4}\)[/tex], because [tex]\(x = 0\)[/tex].
- However, the constant part, 250, remains unchanged.
4. Identify the Correct Interpretation:
- When [tex]\(x = 0\)[/tex], the expression simplifies to some value plus 250. Since the question asks about the constant part, it's important to focus on what this 250 means independently of the variable part.
- This indicates that the 250 is the average amount a cab driver collects on a day when no senior citizens are using the service, as it is the part of the expression that stays constant regardless of the number of senior citizen passengers.
Thus, the correct interpretation of the constant term 250 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.
1. Understanding the Expression:
- The expression [tex]\(\frac{180r}{x+4}\)[/tex] represents a variable part that depends on the number of senior citizens, [tex]\(x\)[/tex], traveling by the company's cabs.
- The constant term is [tex]\(250\)[/tex].
2. Analyzing the Constant:
- A constant term in an expression usually represents a fixed amount that does not change with the variable [tex]\(x\)[/tex].
- In this context, it represents a base amount that the cab driver collects, regardless of the number of senior citizen passengers.
3. What Does It Mean When [tex]\(x = 0\)[/tex]?:
- Let's consider the scenario when no senior citizens travel using the cabs, meaning [tex]\(x = 0\)[/tex].
- In this case, the variable part of the expression, [tex]\(\frac{180r}{x+4}\)[/tex], becomes [tex]\(\frac{180r}{4}\)[/tex], because [tex]\(x = 0\)[/tex].
- However, the constant part, 250, remains unchanged.
4. Identify the Correct Interpretation:
- When [tex]\(x = 0\)[/tex], the expression simplifies to some value plus 250. Since the question asks about the constant part, it's important to focus on what this 250 means independently of the variable part.
- This indicates that the 250 is the average amount a cab driver collects on a day when no senior citizens are using the service, as it is the part of the expression that stays constant regardless of the number of senior citizen passengers.
Thus, the correct interpretation of the constant term 250 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.
