On February 16, 2007, paraglider Eva Wisnierska was caught in a freak thunderstorm over
Australia and carried upward at a speed of about 3000 ft/min. The table below gives the
temperature at various heights. Approximately how fast (in ◦F/min) was her ambient
temperature decreasing when she was at 4000 feet?
The Attempt at a Solution
Well here's where I've gotten.
I am not sure, but this problem looks like some sort of related rates problem. We known dy/dt is 3000 ft/min, but we need in deg F/min, so what I did is a simple slope calculation for the point 4000 ft by doing
(60-52)/(2-4) and getting -4 deg F/1000 ft
From here, I'm not exactly sure how to manipulate and get the rate that we need. Am I on the right track? What's next?
Thanks so much!