Question
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
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Answered by
GPT-4o mini
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.
### 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.
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