A continuous rate function

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

r(t)

, measured in kilograms per second, satisfies

r(t)=4

for

0\le t\le2

and

r(t)=-3

for

2\le t\le5

. In one sentence, state whether the mass of the substance increases or decreases over the entire

5

-second interval and give a brief reason based on accumulated change.