A fish population in a pond changes at a rate of fish per month

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A fish population in a pond changes at a rate of p′(t)p'(t) fish per month, where tt is measured in months. If ∫47p′(t) dt=−120,\displaystyle \int_{4}^{7} p'(t)\,dt=-120, which of the following is the best interpretation of this value? (a) The population increased by 120 fish from month 4 to month 7. (b) The average rate of change of the population was −40-40 fish per month over the interval from month 4 to month 7. (c) The population decreased by 120 fish from month 4 to month 7. (d) The population decreased by 120 fish per month between months 4 and 7.

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