Solve each applied problem.Duration of a Storm Meteorologists can approximate the duration...

Solve each applied problem.

Duration of a Storm Meteorologists can approximate the duration of a storm by using the formula

where T is the time in hours that a storm of diameter D (in miles) lasts.

(a) The National Weather Service reports that a storm 4 mi in diameter is headed toward New Haven. How long can the residents expect the storm to last?

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(b) After weeks of dry weather, a thunderstorm is predicted for the farming community of Apple Valley. The crops need at least 1.5 hr of rain. Local radar shows that the storm is 7 mi in diameter. Will it rain long enough to meet the farmers’ need?