To represent the situation using a function, we can define a function that calculates the total cost based on the number of doughnuts purchased. The total cost will include the round trip taxi fare and the cost of the doughnuts.
Let's define the function as follows:
- Let \( n \) be the number of doughnuts you purchase.
- The cost of the taxi ride is a fixed $7.00.
- The cost of each doughnut is $0.50.
The total cost \( C(n) \) can be expressed as:
\[ C(n) = 7.00 + 0.50n \]
Where:
- \( C(n) \) is the total cost in dollars.
- \( 7.00 \) represents the fixed cost of the taxi ride.
- \( 0.50n \) represents the cost of \( n \) doughnuts, with each costing $0.50.
Function in Code
If you are looking to implement this in a programming language (for instance, Python), you could write the function like this:
def total_cost(num_donuts):
taxi_fare = 7.00
donut_cost_per_unit = 0.50
total_cost = taxi_fare + (donut_cost_per_unit * num_donuts)
return total_cost
Example Usage
You can call this function with the number of doughnuts you want to purchase:
print(total_cost(10)) # Example: Buying 10 doughnuts
This will calculate the total cost of the trip based on the given formula.
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