Rock climbing routes are rated on a numbered scale with the highest number representing the most difficult route. Sally tried a range of shoe sizes on each of several routes of varying difficulty and found that when she wore smaller shoes, she could climb routes of greater difficulty. If D represents the difficulty rating of a route Sally successfully climbed and s represents the size of the shoes she wore on such a route, then which of the following could express D as a function of s ?

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Filo · Accepted Answer

Start by thinking about the relationship described in the question: the smaller the shoes, the greater the difficulty. This is an inverse relationship. So, look for an inverse function. Only (D) is an inverse function.
If you aren't sure, try plugging in numbers to try it out. Plug in s=8 then s=10 to see if the result for D is smaller when you use a larger shoe size. Since only (D) results in a smaller difficulty for a larger shoe size, the correct response is (D).

Question Text	Rock climbing routes are rated on a numbered scale with the highest number representing the most difficult route. Sally tried a range of shoe sizes on each of several routes of varying difficulty and found that when she wore smaller shoes, she could climb routes of greater difficulty. If $D$ represents the difficulty rating of a route Sally successfully climbed and $s$ represents the size of the shoes she wore on such a route, then which of the following could express $D$ as a function of $s$ ?
Topic	Functions
Subject	Algebra 1
Class	High School
Answer Type	Text solution:1

Text solutionVerified

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