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?
To graph the function rule C = 0.50m + 2.00, we need to plot points on a graph where the x-axis represents the number of miles traveled (m) and the y-axis represents the total cost of the ride (C).
Let's choose a few values for m and calculate the corresponding values for C:
When m = 0:
C = 0.50 * 0 + 2.00 = 2.00
So one point on the graph is (0, 2.00).
When m = 10:
C = 0.50 * 10 + 2.00 = 7.00
So another point on the graph is (10, 7.00).
When m = 20:
C = 0.50 * 20 + 2.00 = 12.00
So another point on the graph is (20, 12.00).
When m = 30:
C = 0.50 * 30 + 2.00 = 17.00
So another point on the graph is (30, 17.00).
When m = 40:
C = 0.50 * 40 + 2.00 = 22.00
So another point on the graph is (40, 22.00).
Now, let's plot these points on a graph. The x-axis will represent the miles traveled (m) and the y-axis will represent the total cost of the ride (C).
Here is the graph:
```
| *
C | *
o | *
s |
t |
|________________
0 10 20 30 40
m
```
The points we calculated above (0, 2.00), (10, 7.00), (20, 12.00), (30, 17.00), and (40, 22.00) are represented on the graph as 5 dots (*), and a line can be drawn connecting these dots to show the relationship between m and C. The line should start from the dot at (0, 2.00) and extend to the dot at (40, 22.00).
Please note that the graph is just an approximation and should not be considered precisely accurate. It is only meant to depict the relationship between the number of miles traveled and the total cost of the ride.