You make trips to the grocery store to purchase donuts. Everytime you go, you take a taxi. The round trip taxi ride home costs 7.00$ and each donut costs 0.50$. Write a function to represent the situation

1 answer

To represent the cost of your trips to the grocery store for donuts as a function, we can define a function \( C(n) \) where \( n \) is the number of donuts you buy.

Breakdown of Costs:

  1. Taxi Round Trip Cost: $7.00
  2. Cost per Donut: $0.50

Total Cost Calculation:

The total cost of the trip, which includes the taxi fare and the cost of donuts, can therefore be expressed as:

\[ C(n) = \text{Taxi Cost} + \text{Cost per Donut} \times n \]

Substituting Values:

\[ C(n) = 7.00 + 0.50n \]

Function Definition:

So, the function to represent your total cost when you buy \( n \) donuts is:

\[ C(n) = 7.00 + 0.50n \]

Summary:

  • \( C(n) \): Total cost for the trip, depending on the number of donuts purchased.
  • \( n \): Number of donuts bought.
  • For any number of donuts \( n \), you can calculate the total cost of your trip using this function.