AP Calculus ABeasymcq1 pt

Water flows into a tank at a rate r(t)r(t) gallons per minute. Selected values are r(0)=5r(0)=5, r(2)=8r(2)=8, r(4)=11r(4)=11, and r(6)=7r(6)=7. Using a left Riemann sum with three subintervals of equal length, the total water that flows into the tank from t=0t=0 to t=6t=6 is approximately how many gallons?

A.5252
B.4848
C.5050
D.6262

Explanation

Core Concept

Each subinterval has width 2, and the left endpoint heights are 5,8,115,8,11. The sum is 2(5+8+11)=482(5+8+11)=48 gallons.

Correct Answer

B4848

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