Question

Several co-workers carpool to work each day. the daily cost of gas and tolls, $12, is split evenly among the people who carpool that day. the cost per person varies inversely with the number of people. write a function that describes the cost per person on a given day of x people carpool.

c(x) =

please help and thank you.
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Answer 1

c(x) = ($12) / x

Explanation:

The general formula for inverse proportion is y = k/x.

In this specific problem, y represents the cost per person, k the dailyl cost ($12), and x the number of perople riding.

Then

c(x) = cost per person as a function of the number of people riding

= ($12) / x

Note that if only one person rides, that person pays $12/1, or $12; if two people, $12/2, or $6 per person, and so on.