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wolverine [178]
2 years ago
10

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 g

as 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).
Mathematics
1 answer:
Mice21 [21]2 years ago
5 0

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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