Question

You make trips to the grocery store to purchase doughnuts. Every time you go you take a taxi the round trip taxi ride costs $7.00 and each doughnut cost $0.50
Write a function to represent the situation

Answer 1

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:

```python
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:

```python
print(total_cost(10)) # Example: Buying 10 doughnuts
```

This will calculate the total cost of the trip based on the given formula.