Answer:
The piecewise function for the taxi fare is:
[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex]
[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex]
Step-by-step explanation:
We must use the following piecewise function:
(i) The Topology Taxi Company charges 2.60 for the first quarter of a mile:
[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex] (1)
Where:
[tex]F(t)[/tex] - Taxi fare, in monetary units.
[tex]m[/tex] - Number of miles driven, in miles.
(ii) And 0.36 for each additional fifth of a mile:
[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex] (2)
