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?

a. The amount a customer pays increases $0.50 per mile driven.
b. The amount a customer pays increases $0.60 per mile driven.
c. The amount a customer pays increases $12 per mile driven.
d. The amount a customer pays increases $21 per mile driven.
(The vertical axis is labeled distance driven in miles. The horizontal axis is labeled amount paid. The horizontal x axis ranges from 0 to 50 in increments of 5 dollars. The vertical y axis ranges from 0 to 50 in increments of 5 miles. A line passes through the origin and the points begin ordered pair (20, 12) and (35 , 21) end ordered pair.)

Answer 1

The rate of change is $0.60 per mile driven.

Step-by-step explanation:

The graph shows the relationship between the number of miles driven and the amount of money the customer pays for the taxicab service. Based on the graph, we can calculate the rate of change by finding the slope of the line that represents the data. The line passes through the points (20, 12) and (35, 21). To find the slope, we use the formula: (change in y)/(change in x). In this case, the change in y is 21 - 12 = 9, and the change in x is 35 - 20 = 15. Therefore, the rate of change is 9/15 = 0.6. This means that the amount a customer pays increases $0.60 per mile driven.