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

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

Grade:11

1 Answers

Ramesh V
70 Points
12 years ago

V = at + bt2

V in million cubic feet

t in months

so after changing units to cubic feet and seconds

in a month, no. of seconds = 30*24*60*60 = 2.592 *106

so on substuting gives

V x 106 = 1.5*2.592 *106 t + 0.008*2.592 *106*2.592 *106*t2

V = 3.888 t + 53747.712 t2

with V in cubic feet and t in seconds

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