Question

A taxicab service charges customers by the mile. The graph

shows the number of miles a taxicab drives and the amount of
money the customer pays.
Which statement best describes the rate of change for the
situation?
The amount a customer pays increases $0.50 per
mile driven
The amount a customer pays increases $0.60 per
mile driven
The amount a customer pays increases $12 per mile
driven.
The amount a customer pays increases $21 per mile
driven

Answer 1

The amount a customer pays increases $0.60 per mile driven.

Explanation:

$0.6/mi is the rate of change, y = mx + b, so m.is also called rate of change & b is the initial value of x, in the graph b = 0. making m the subject of the equation, then m(roc) = 0.6.

Answer 2

The second option: The amount a customer pays increases $0.60 per mile driven.

Explanation:

As seen on the graph, we are given the points (20,12) and (35,21).

This means that at 20mi driven, the amount paid is $12, and at 35mi driven, the amount is $21.

To find the rate of change we divide the distance driven by the cost to find the cost per mile:

20/12 = 0.6

35/21 = 0.6

The slope is 0.6, so it costs an extra $0.6 for every mi driven. Therefore it is the second option: The amount a customer pays increases $0.60 per mile driven.

Hope this helped!