Ataxi company charges $4.00 for the first mile (or part of a mile) and 80 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.

The piecewise function is:

Step-by-step explanation:

A piecewise function is a function that is defined in multiple intervals.

In the first interval:

The problem states that a taxi company charges $4.00 for the first mile (or part of a mile).

x is the number of miles. So

If .

Second interval:

Here, the cost is defined by a linear function in the following format:

In which is the initial price and r is the price paid per mile.

The problem states that each succeeding tenth of a mile costs 80 cents. So

we have the following rule of three.

1 mile - r dollars

0.1miles - 0.8 dollars

So, we have

Piecewise function:

The piecewise function is:

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step-by-step explanation:

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step-by-step explanation: