A taxi’s variable rate is measured in dollars per mile for miles of a trip

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A taxi’s variable rate

r(x)

is measured in dollars per mile for

0\le x\le 5

miles of a trip. If the total fare

F

is obtained by finding the area between the graph of

r(x)

and the

x

-axis on this interval, what are the units of

F

? (a)

\text{miles}

(b)

\text{dollars per mile}

(c)

\text{dollars}

(d)

\text{dollar-miles}