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.

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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