Question

A taxi ride costs p40.00 for the first 500 meters and each additional 300 meters or a fraction there of adds p3.50 to the fare.use a piecewise function to represent the taxi fare in terms of distance d in meter?

Answer 1

The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×$\frac{d-500}{300}$ + 40 .

According to the question,

For first 500 meters cost is  40.00 and For each additional 300 meters cost is 3.50 .

Let, the total distance of taxi ride = d meters

Now, representing the equation of taxi fare in terms of distance when distance is less than 500

taxi fare = 3.50 ×  $\frac{d-500}{300}$  + 40

∴  f(d) = 3.50 ×  $\frac{d-500}{300}$ + 40

To know more about functions refer below link: brainly.com/question/12431044

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