The accompanying graph shows the total amount of gasoline A in the gas tank of a

Question

The accompanying graph shows the total amount of gasoline A in the gas tank of a. Estimate the average gasoline consumption over the time interval [0,3] an automobile after being driven for t days The average consumption is g per day. (Type an integer or a decimal.) Estimate the average gasoline consumption over the time interval [0,5] The average consumption is g per day. (Type an integer or a decimal.) Estimate the average gasoline consumption over the time interval [7,10] The average consumption is g per day. (Type an integer or a decimal.) b. Estimate the instantaneous rate of gasoline consumption at the time t 1 in 12 gallons per day. OA. OB. OC. OD. 0.33 0.67 -0.33 -0.67 8 9 10 Elapsed time (days) Use the graph above to answer parts a. through c. to the right.

Explanation / Answer

a)
(0,16) to (3,14.5)
(14.5 - 16) / (3 - 0)
= -1.5/3
= -0.5

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b)
(0,16) to (5,12.5)
(12.5 - 16)/(5 - 0)
= -3.5/5
= -0.7

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c)
(7,11.5) to (10,2.5)
(2.5 - 11.5)/(10-7)
= -3

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b)
(0,16) to (1,15.75) and (1,15.75) to (2,15.4)

(0,16) and (1,15.75) ---> slope = -0.25

(1,15.75) to (2,15.4) --> slope = -0.35

So, avg slope = (-0.25 - 0.35)/2
= -0.3 ----> ANS

Option C

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