Answer :
We start with the expression
[tex]$$
\frac{180x}{x+4} + 250,
$$[/tex]
where [tex]$x$[/tex] is the number of senior citizens who travel by the company's cabs.
To understand the role of the constant term [tex]$250$[/tex], we first consider what happens when [tex]$x = 0$[/tex], which represents the scenario when no senior citizens travel.
Substitute [tex]$x = 0$[/tex] into the expression:
[tex]$$
\frac{180 \cdot 0}{0+4} + 250 = \frac{0}{4} + 250 = 0 + 250 = 250.
$$[/tex]
This calculation shows that when there are no senior citizens traveling by the company's cabs, the average amount a cab driver collects on that day is \[tex]$250.
Thus, the constant $[/tex]250[tex]$ in the expression represents the average amount collected by a cab driver on a day when no senior citizens travel by the company's cabs. This corresponds to option B.
Therefore, the answer is:
B. The constant $[/tex]250$ represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.
[tex]$$
\frac{180x}{x+4} + 250,
$$[/tex]
where [tex]$x$[/tex] is the number of senior citizens who travel by the company's cabs.
To understand the role of the constant term [tex]$250$[/tex], we first consider what happens when [tex]$x = 0$[/tex], which represents the scenario when no senior citizens travel.
Substitute [tex]$x = 0$[/tex] into the expression:
[tex]$$
\frac{180 \cdot 0}{0+4} + 250 = \frac{0}{4} + 250 = 0 + 250 = 250.
$$[/tex]
This calculation shows that when there are no senior citizens traveling by the company's cabs, the average amount a cab driver collects on that day is \[tex]$250.
Thus, the constant $[/tex]250[tex]$ in the expression represents the average amount collected by a cab driver on a day when no senior citizens travel by the company's cabs. This corresponds to option B.
Therefore, the answer is:
B. The constant $[/tex]250$ represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.
