Question

The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.

Answer 1

1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

1500 / p

c = 1500 / p

Answer 2

1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

1500 / p

c = 1500 / p