Burian is a very prolific writer, able to write thousands of pages per day! His assistant identified a few relevant functional relationships and modeled them:
Function | Input | Output
- | - | -
$P$ | Amount of sugar in Burian's morning coffee, $x$ | Number of pages Burian writes, $P(x)$
$I$ | Number of pages Burian writes, $k$ | Number of ink cartridges used, $I(k)$
$S$| Number of ink cartridges used, $r$ | Number of times the assistant has to walk to the office supply shop, $S(r)$
**Which of the following expressions represents the number of ink cartridges used as a function of the amount of sugar in Burian's morning coffee?**
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