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A rock climber's elevation above sea level changed −82 1/2 feet in 2 1/4 minutes as she descended.


What was the climber's average change in elevation per minute?


Enter your answer as a mixed number, in simplified form, in the box.




Answer Quickly please, thanks.

Verified Answer :

morganlinnwhiting102

what was the climber's average change in elevation per minute?
-36⅔

Answer:

\(-36\frac{2}{3}ft/min\)

Step-by-step explanation:

The elevation changed \(-82\frac{1}{2} ft\) in \(2\frac{1}{4} min\). To find the ratio of change of such elevation, we just have to divide these quantities. However, we need to transform each mixed number into a fraction, as follows

\(-82\frac{1}{2} ft=-\frac{165}{2} ft\\2\frac{1}{4} min=\frac{9}{4}min\)

Then, we divide

\(-\frac{165}{2}ft \div \frac{9}{4} min=-\frac{165}{2}ft\times \frac{4}{9}\frac{1}{min}=-\frac{660}{18}ft/min=-36\frac{12}{18} =-36\frac{2}{3}ft/min\)

Therefore, the ratio of change expressed as a mixed number is

\(-36\frac{2}{3}ft/min\)

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