Question

1262. This graph shows therelationship between thedistance traveled and the farein a New York City taxicab.NYC Taxi Fares20What does the inputmeasure in this function?1513b. What does the outputmeasure in this function?Cab Fare (5).c. What is the rate ofchange for this function?11Miles Traveled

Answer 1

From the graph,

a)

The input for the function is the x coordinates of the function.

So, the inputs for the function is,

`\begin{gathered} 0,1,2,3,4,5,\ldots.\infty \\ (or) \\ \lbrack0,\infty) \end{gathered}`

b)

The output for the funtion is the y coordinates of the function.

So, the outputs for the function is,

`2.5,\text{ 4.5, 6.5, 8.5, }\ldots\ldots`

c)To find the rate of change of function:

Let us take the any two points in the graph

So, (0, 2.5) and (1, 4.5).

We know that, the rate of change of function is the slope of the function.

Hence,

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ =(4.5-2.5)/(1-0) \\ =2 \end{gathered}`

Thus, the rate of change of function is 2.