Mathematics
Grade10
Easy

Question

The cost to rent a condominium at the beach is $ 1500 per week. If two people share the cost, they each have to pay $ 750. Write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee

  1. c = 1500 over straight p
  2. p = 1500 over straight p
  3. p = 750 × c
  4. p = 2 over straight c 

Hint:

The cost per person and the number of people sharing the cost are inversely related because the cost per person reduces as the number of people sharing the cost rises. Here we have given that the cost to rent a condominium at the beach is $ 1500 per week. If two people share the cost, they each have to pay $ 750. We have to write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.

The correct answer is: c = 1500 over straight p


    Per person sharing is the price each guest pays during the contribution. Here we have given that the cost to rent a condominium at the beach is $ 1500 per week. If two people share the cost, they each have to pay $ 750. 
    Lets look at the cost comparison per number of tenants, we have:
    For 1 person it is $1500 per person
    For 2 people it is $750 per person
    For 3 people it is $500 per person
    Here we can clearly see that the cost per person reduces as the population grows. You are splitting the expense evenly if you are doing so. The rent is divided between the number of people
    = 1500/p
    So c = 1500 / p

    Here we have given that the cost to rent a condominium at the beach is $ 1500 per week. If two people share the cost, they each have to pay $ 750. So an an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee is c = 1500 / p

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