QuestionThe price $P(n)$ (in dollars) for $n$ grams of vitamins is $P(n) = 0.4n + 6.6$. Find the inverse function $P^{-1}(x)$ and its value for $x = 8.8$.
(a) The amount of vitamins (in grams) for a price of $x$ dollars. (b) $P^{-1}(x) = (x - 6.6) / 0.4$ (c) $P^{-1}(8.8) = 5.5$

Studdy Solution
Divide $2.2$ by $0.4$ to find the number of grams of vitamins for a price of $8.8$ dollars.
$$P^{-1}(8.8) = \frac{2.2}{0.4} = 5.5$$
So, $P^{-1}(8.8) = 5.5$ grams.
Solution: (a) The amount of vitamins (in grams) for a price of $x$ dollars. (b) $P^{-1}(x) = \frac{x - 6.6}{0.4}$ (c) $P^{-1}(8.8) = 5.5$ grams.