Question

A taxi has an initial charge of $2.50 and then $0.40 cents per additional one fifth (⅕ or 0.2) of a mile. Will the graph of the number of miles ridden in a taxi versus the cost to ride in a taxi be discrete or continuous?

Answer 1

The graph depicting the number of miles ridden in a taxi versus the cost will be continuous, because the cost changes with every fraction of a mile ridden.

Step-by-step explanation:

The graph of the number of miles ridden in a taxi versus the cost to ride in a taxi will be continuous. Since you can ride any fractional part of a mile, the number of miles can take on any positive value, and the corresponding cost will also change continuously with each fraction of a mile. A discrete graph would show only isolated points where, for example, only whole miles might be considered. However, in this case, since the fare changes with every one fifth of a mile, the graph definitely represents a continuous function.