Question

13. A taxi company charges passengers $2.00 for a ride, and an additional $0.50 for each mile traveled.



The function rule C = 0.50m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. If the taxi company will only go a maximum of 40 miles, what is a graph of the function rule?

Answer 1

To create a graph of the function rule C = 0.50m + 2.00, we need to plot points that represent the relationship between the number of miles traveled (m) and the total cost of the ride (C).

Let's choose some values for m and calculate the corresponding values for C using the function rule:

For m = 0:
C = 0.50(0) + 2.00 = 2.00
So, one point on the graph is (0, 2.00).

For m = 10:
C = 0.50(10) + 2.00 = 7.00
So, another point on the graph is (10, 7.00).

For m = 20:
C = 0.50(20) + 2.00 = 12.00
So, another point on the graph is (20, 12.00).

For m = 30:
C = 0.50(30) + 2.00 = 17.00
So, another point on the graph is (30, 17.00).

For m = 40:
C = 0.50(40) + 2.00 = 22.00
So, another point on the graph is (40, 22.00).

Now, we can plot these points on a graph and connect them with a line:

```
C
|
|
| --------------------------------
| /
| /
| /
| /
| /
| /
| /
| /
|_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
0 10 20 30 40 m

```

The x-axis represents the number of miles traveled (m) and the y-axis represents the total cost of the ride (C). The line connecting the points shows the relationship between the two variables.