Question

The production of an oil well is decreasing at a rate according to the equation 1 = 1or 01, where A is the amount in barrels and is the time in years. If the currentproduction is 600,000 barrels, what will production be in 11 years? Round your answer to the nearest whole numberKeypadAnswer

Answer 1

• A= A0 e^(-0.18t)

A = amount of barrels

t= time in years

A0 = current production

Replacing:

A0=600,000

t= 11

A = 600,000 * e^(-0.18*11)

A = 600,000 * e (-1.98)

A= 82,842 barrels