Question: If an object weighs m pounds at sea level, then its weight W (in pounds) at a height of h miles above sea level is

If an object weighs m pounds at sea level, then its weight W (in pounds) at a height of h miles above sea level is given approximately by

2 4000 (h) 3 m 4000 + h

(a) If Amy weighs 120 pounds at sea level, how much will she weigh on Pike€™s Peak, which is 14,110 feet above sea level?

(b) Use a graphing utility to graph the function w = w(h). Use m = 120 pounds.

(c) Create a Table with Tb1Start = 0 and ΔTb1 = 0.5 to see how the weight W varies as h changes from 0 to 5 miles.

(d) At what height will Amy weigh 119.95 pounds?

(e) Does your answer to part (d) seem reasonable? Explain.

2 4000 (h) 3 m 4000 + h

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