Question

A taxi company charges $1.00 for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0 < x ≤ 2 and sketch a graph of this function.

Answer 1

Step-by-step explanation:

solving functions separately.

1st:  from given data taxi charges $1.00 for the first mile.so it is first rule of function.

$y_{1} =1 , 0$

2nd: the company charge $0.20 per tenth of a mile.so 2nd rule of the function will  be

$y_{2} =1+0.2.10(x-1)$

simplifying

$y_{2} =1+2(x-1)$

$y_{2} =x+2x-2$

$y_{2} =x$ ,  $1$

piece wise function is f(x)={2 ,  0<x<1

                                              {x ,  1<x<2

the graph of the function is given below