Write and Solve the Differential Equation That Models the Following $P$

Multiple Choice

Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four Decimal places: The rate of change of $P$ is proportional to $P$ . When $t = 0 , P = 60$ and when $t = 5 , P = 84$ . What is the value of $P$ when $t = 11$ ?

A) $P ( 11 ) = 131.9962$
B) $P ( 11 ) = 129.5362$
C) $P ( 11 ) = 122.0362$
D) $P ( 11 ) = 125.7862$
E) $P ( 11 ) = 116.8662$