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A group of friends will go on a weekend camping trip and split the cost of gas equally. the cost that each person will pay for gas is inversely proportional to the number of people who go on the trip. if four friends go on the trip, each person pays $23 for gas. write an equation that describes the relationship between cost (c) that each person pays for gas, and the number of people on the trip (n).

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sqdancefan

Answer:

  c = 92/n

Step-by-step explanation:

The equation that describes the inversly proportional relationship is ...

  y = k/x

The value of the constant of proportionality can be found from ...

  xy = k . . . . . . product of values of independent and dependent variables

__

In this problem, we have c = 23 for n = 4, so the constant of proportionality is ...

  k = c×n = (23)(4) = 92

The equation for the relationship is ...

  c = 92/n

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