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The Alaskan oil fields, in operation since 1977, had an estimated reserve of 4.9 billion barrels...

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Basic Math

The Alaskan oil fields, in operation since 1977, had anestimated reserve of 4.9 billion barrels in 1999. In 2009, thefields had an estimated reserve of 3.5 billion barrels. Assume therate of depletion is constant.

(a) Find a linear equation that relates the amount A, inmillions of barrels, of oil left in the fields at any time t, wheret is the year.

(b) If the trend continues, when will the fields dry out?

(c) Interpret the slope and y-intercept in this context.

(d) The Jack Field, discovered in the Gulf of Mexico off thecoast of Louisiana in 2006, is estimated to contain up to 15billion barrels of oil. At the same rate of depletion, how longwill this field last?

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