AP Calculus BC 7.8: General & Particular Solutions

Practise AP Calculus BC 7.8 by using an initial value to solve a differential-equation model and evaluate the solution at a specified time.

Exam points

Use an initial condition to solve a rate model, then evaluate the particular solution at a stated time

[Maximum number: 1]

The rate at which a rumor spreads across a campus of college students is given by $\frac{d P}{d t}=0.16(1200-P)$ , where P(t) represents the number of students who have heard the rumor after t days. If 200 students heard the rumor today (t=0), how many will have heard it by midnight the day after tomorrow (t=2) ?

320

474

726

1,015

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FUN-7.G—Determine general and particular solutions for problems involving differential equations in context question 1