The cost to rent a motorcycle includes a one-time refundable fee plus the cost per day the motorcycle is rented. The total cost to rent a motorcycle for one or more days can be represented by the function C (n) = 85n + 100 where n represents the number of days the motorcycle is rented. What does the value 85 represent in this scenario?

Question

Responses

85 represents the one-time refundable fee

85 represents the total amount spent to rent the motorcycle

85 represents the cost per day the motorcycle is rented

85 represents how many days the motorcycle was rented for

Answer 1

In the function \( C(n) = 85n + 100 \), the value 85 represents the cost per day the motorcycle is rented. Therefore, the correct response is:

85 represents the cost per day the motorcycle is rented.

Answer 2

well how did we get this answer

Answer 3

To understand how we arrived at the answer that 85 represents the cost per day the motorcycle is rented, let's analyze the function \( C(n) = 85n + 100 \):

1. Function Structure: The function \( C(n) = 85n + 100 \) is a linear equation where:

   • \( C(n) \) is the total cost of renting the motorcycle for \( n \) days.
   • \( n \) represents the number of days the motorcycle is rented.

2. Identify Components:

   • The term \( 100 \) represents a one-time refundable fee, which you pay when you rent the motorcycle. This fee does not change regardless of how many days you rent the motorcycle.
   • The term \( 85n \) indicates that for each day you rent the motorcycle, you incur an additional cost.

3. Understanding the Coefficient:

   • In the term \( 85n \), the coefficient \( 85 \) indicates the cost associated with renting the motorcycle for each day. This means for every day \( n \) that you rent the motorcycle, you will pay an additional \( 85 \).

4. Conclusion:

   • Therefore, \( 85 \) represents the cost per day of renting the motorcycle.

By breaking down the function into its components, we see that the 85 clearly indicates the daily rental cost.