Oil is being pumped from a well at a variable rate. Workers measure the rate the

Question

Oil is being pumped from a well at a variable rate. Workers measure the rate the oil is being extracted every 30 minutes and record the data in the following table.

Rate in gal/min

Use the rate at the right end point of each of the following time intervals to estimate the amount of oil that was pumped from the well during that time interval. Include correct units.

Use the above estimates to estimate the total amount of oil that was pumped from the well on the interval 0 t 150. Include correct units.

Rate in gal/min

0.25 0.4 0.5 0.54 0.4 0.3 Time in minutes 0 30 60 90 120 150

Explanation / Answer

Total amount of oil that was pumped from the well one the interval 0 < t < 150 is 64.2 gallons

Time interval (in minutes ) Amount of oil(in galons) 0 < t < 30 0.4*30 = 12 30 < t < 60 0.5*30 = 15 60 < t < 90 0.54*30 = 16.2 90< t < 120 0.4*30 = 12 120 < t < 150 0.3*30 =9 Total oil 64.2

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