A driving service, like Uber or Lyft, charges the following, as modeled in the table, per mile driven.
Miles Driven Cost
0 $10
1 10.70
2 11.40
3 12.10
4 12.80
What is the rate of change/cost per mile driven?
What does the first point (0, 10) represent in the context of the problem?
Using m to represent miles and C(m) to represent the cost, what equation models the function in the table?
The rate of change/cost per mile driven can be found by calculating the difference in cost for each additional mile driven. Looking at the table, we can see that the cost increases by $0.70 for every additional mile driven. Therefore, the rate of change/cost per mile driven is $0.70.
In the context of the problem, the first point (0,10) represents the initial cost before any miles are driven. This means that regardless of the distance traveled, there is a base fee of $10.
Using m to represent miles and C(m) to represent the cost, the equation that models the function in the table can be written as:
C(m) = 10 + 0.70m