APFIVE Average Value of a Rate Function
A function $$h(t)$$ gives the rate of snow accumulation on the ground, in inches per hour, where $$t$$ is measured in hours since midnight. Which of the following gives the meaning of
$$\frac{1}{8-3}\int_3^8 h(t)\, dt$$
in the context described?
A
The net change in the rate of snow accumulation, in inches per hour, between 3 A.M. and 8 A.M.
B
The average rate of snow accumulation, in inches per hour, between 3 A.M. and 8 A.M.
C
The total depth of snow, in inches, that accumulated during the first 8 hours after midnight
D
The total depth of snow, in inches, that accumulated between 3 A.M. and 8 A.M.
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