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. C(x) = - if 0 < x ≤ 1 - if 1 < x ≤ 1.1 - if 1.1 < x ≤ 1.2 - if 1.9 < x ≤ 2

Answer 1

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). The cost of a ride can be expressed as a piecewise defined function of the distance traveled.

Step-by-step explanation:

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). To 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, we can break it down into different intervals:

For 0 < x ≤ 1, the cost C(x) = $1.00

For 1 < x ≤ 1.1, the cost C(x) = $1.20

For 1.1 < x ≤ 1.2, the cost C(x) = $1.40

For 1.2 < x ≤ 2, the cost C(x) = $1.80