Single Variable Calculus, Chapter 1, 1.1, Section 1.1, Problem 58

A taxi fare costs \$2 dollars for the first mile(or part of a mile) and 20 cents for each succeeding tenth of a mile(or a part).
Indicate the cost $C$(in dollars) as a function distance $x$ traveled(in miles) for $0 < x < 2$, and make a graph of this function.




Total cost = charge for the first mile + charges for succeeding miles



Total cost = $\displaystyle\frac{2\text{ dollars}}{\text{mile}} (1 \text{mile}) + \frac{0.20 \text{ dollars}}{0.10 \text{ mile}} (x-1)\text{ mile}$



Total cost = $2 \text{ dollars}+ 2 (x-1) \text{ dollars}$



Total cost = $2 + 2x - 2$ (dollars)



Total cost = $2x$ (dollars)









The graph shows the cost $C$ in dollars as a function distance $x$ in miles for $0 < x < 2$