Questions: A museum charges 7 per person for a guided tour with a group of 1 to 12 people or a fixed 91 fee for a group of 13 or more people. Write a function relating the number of people, n, to the cost, C. C(n)= if 0<n< if n >=

Solution Steps

To solve this problem, we need to define a function \( C(n) \) that calculates the cost based on the number of people \( n \). The function will have two cases:

1. If \( 0 < n < 13 \), the cost is \( 7 \) dollars per person.
2. If \( n \geq 13 \), the cost is a fixed \( 91 \) dollars.

1. Define a function C(n) that takes the number of people \( n \) as input.
2. Use an if-else statement to determine the cost based on the value of \( n \).
3. Return the calculated cost.

We need to define a function \( C(n) \) that calculates the cost based on the number of people \( n \). The function will have two cases:

1. If \( 0 < n < 13 \), the cost is \( 7 \) dollars per person.
2. If \( n \geq 13 \), the cost is a fixed \( 91 \) dollars.

1. For \( 0 < n < 13 \): \[ C(n) = 7n \]
2. For \( n \geq 13 \): \[ C(n) = 91 \]

We can write the cost function \( C(n) \) as a piecewise function: \[ C(n) = \begin{cases} 7n & \text{if } 0 < n < 13 \\ 91 & \text{if } n \geq 13 \end{cases} \]

Final Answer