the variable cost is 10/km and a 2.5-km trip costs $40, determine the equation relating cost, C, in dollars, and distance, d, in kilometers
C=10d+6
To determine the equation relating cost (C) and distance (d), we need to find the relationship between the two variables based on the given information.
According to the problem statement, the variable cost is $10 per kilometer, which means that for every kilometer traveled, the cost increases by $10.
Now, since a 2.5-kilometer trip costs $40, we can use this information to create an equation.
To calculate the cost of a 2.5-kilometer trip, we can multiply the distance (d) by the variable cost ($10/km):
Cost = d * $10/km
Substituting the given distance of 2.5 kilometers:
Cost = 2.5 km * $10/km
Simplifying the equation:
Cost = $25
So, the cost of a 2.5-kilometer trip is $25. However, in the given problem, it is stated that the cost of the trip is $40, not $25.
Since the cost does not align with the information given, there might be an error or inconsistency in the problem statement. Please double-check the provided values to ensure their accuracy.