Question
An organization determines that the cost per person $C(x),$ in dollars, of chartering a bus with $x$ passengers is given by$$C(x)=\frac{100+5 x}{x}$$Determine $C^{-1}(x)$ and explain how this inverse function could be used.
Step 1
To do this, we start by replacing $C(x)$ with $y$ for simplicity. So, we have: $$y=\frac{100+5x}{x}$$ Show more…
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An organization determines that the cost per person of chartering a bus is given by the function $$C(x)=\frac{100+5 x}{x}$$ where $x$ is the number of people in the group and $C(x)$ is in dollars. Determine $C^{-1}(x)$ and explain how this inverse function could be used.
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Budget. The Richmond rowing club is planning to enter the Head of the Charles race in Boston and is trying to figure out how much money to raise. The entry fee is $\$ 250$ per boat for the first 10 boats and $\$ 175$ for each additional boat. Find the cost function $C(x)$ as a function of the number of boats $x$ the club enters. Find the inverse function that will yield how many boats the club can enter as a function of how much money it will raise.
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