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69 The consumption of natural gas by a company satisfies The empirical equation

ID: 1579617 • Letter: 6

Question

69 The consumption of natural gas by a company satisfies The empirical equation V= 1.50t +0.008 00t^2, where V is the volume of gas in millions of cubic feet and t is the time in months. Express this equation in units of cubic feet and seconds. Assume a month is 30.0 days. 69 The consumption of natural gas by a company satisfies The empirical equation V= 1.50t +0.008 00t^2, where V is the volume of gas in millions of cubic feet and t is the time in months. Express this equation in units of cubic feet and seconds. Assume a month is 30.0 days.

Explanation / Answer

Given,

V = 1.5 t + 0.008 t^2

We know that,

t = 30 days = 30 x 24 x 60 x 60 sec = 2.592 x 10^6 sec

V x 10^6 = 1.5 x 2.592 x 10^6 t + 0.008 x (2.592 x 10^6)^2 t^2

V = 3.888 t + 53747.712 t^2