Question

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.

Answer 1

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

Answer 2

`-36(2)/(3)ft/min`

Explanation:

The elevation changed
`-82(1)/(2) ft` in
`2(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(1)/(2) ft=-(165)/(2) ft\\2(1)/(4) min=(9)/(4)min`

Then, we divide

`-(165)/(2)ft / (9)/(4) min=-(165)/(2)ft* (4)/(9)(1)/(min)=-(660)/(18)ft/min=-36(12)/(18) =-36(2)/(3)ft/min`

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

`-36(2)/(3)ft/min`