An alligator\'s tail length, T, varies directly as its body length, B. An alliga

Question

An alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 4 feet has a tail length of 3 6 feet. What is the tail length of an alligator whose body length is 6 feet? The water temperature of the Pacific Ocean varies inversely as the water's depth. At a depth of 1000 meters, the water temperature is 4.4 degree Celsius What is the water temperature at a depth of 5000 meters? Determine if the following data represents direct variation, inverse variation, or neither. If the data represents direct or inverse variation, find the constant of variation and the variation model.

Explanation / Answer

2. Alligators tail length ----T varies directly with Body length

T1 = 4feet ; B1 = 3.6 feet ; B2 = 6 feet ; T2 = ?

T= kB wher k is a constant

T1/B1 = T2/B2

T2 = (4/3.6)*6 = 6.67 feet

3) Water temp. inversely proptional depth

d1=1000mt T1= 4.4 deg; d2= 5000mt ; T2 = ?

d1/d2 = T1/T2

T2 = T1*d2/d1 = 4.4*5000/1000 = 22 deg

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