The cost per person to rent a mountain cabin is inversely proportional to he number of people who share the rent. If 5 people share the cabin and it costs $36 per person, identify the constant of variation.

Question

Mathematics

Nathen Buchanan

22 September, 10:26

The cost per person to rent a mountain cabin is inversely proportional to he number of people who share the rent. If 5 people share the cabin and it costs $36 per person, identify the constant of variation.

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Answers (1)

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Jerry Harrison · Answer 1

180

Step-by-step explanation:

Let the cost per person be C while the number of people who share the mountain cabin be P, we know that they are inversely related, meaning that an increase in C might be due to a decrease in P while a decrease in C might be due to an increase in P.

Mathematically PC = K

Let k be the constant of proportionality

Using the values we were given in the question,

K = PC = 36 * 5 = 180