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

Question

1 year 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] · Answer 1 · 2023-09-28T17:53:01+03:00

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