Meteorologists can determine the duration of a storm by using the equation T=0.07D3/2, where D is the diameter of the storm in miles and T is the time in hours.
a. Find the duration of a storm with a diameter of 16 mi. Round your answer to the nearest tenth of an hour.

b. Write an equation for the diameter, D, of the storm in terms of the duration of the storm in hours, T.

c. Use the equation from part b to determine the diameter of a storm if it lasts 3 hours. Round your answer to the nearest tenth of a mile.

2. The maximum healthy weight M, in pounds, for a man aged 40 – 49 is related to height h in inches by the equation by h=(1860.867M)1/3
a. What height corresponds to a maximum healthy weight of 210 lb for a 47-year-old man? Round your answer to the nearest tenth of an inch, then convert this to feet and inches.

b. Write an equation for the maximum healthy weight, T, in terms of a man's height in inches, h.

c. Use the equation from part b to determine the maximum healthy weight of a 47-year-old man that is 5 feet, 9 inches tall. Round your answer to the nearest pound.