A group of friends are going on a vacation together. They plan to rent a large house for $3000 and share the cost. They also estimate that the buying food for the week will cost $150 per person. Write a reciprocal function to calculate the cost per person for the trip (C), based on the number of people (P) who decided to come on the vacation. Explain how you came up with the function.

Answer 1

The cost for renting would be inversely proportional to the number of people attending,
that is,
the more people the less the cost.

However, the food cost is directly proportional to the number of people attending,
that is,
the more people the more the cost.

There is your explanation, now form the function.