Prephub

Consider the following problem:

The depth of the snow on Cam’s driveway is increasing at a rate of $r(t)=\frac{t+1}{2}$ centimeters per hour (where $t$ is the time in hours). At time $t=5$ , the depth of the snow is 9 centimeters. By how much does the depth of the snow increase between hours 5 and 8 ?

$\int_{5}^{8} r(t) d t$

$\int_{0}^{8} r(t) d t$

$150+\int_{5}^{8} r(t) d t$

$150+\int_{0}^{8} r(t) d t$

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