AP Calculus AB 7.1 Modeling Situations with Differential Equations Questions

Review AP Calculus AB 7.1 by translating verbal growth, motion, or area relationships into differential equations with correctly named rates.

Exam points

translate a verbal situation into a differential equation involving a derivative
identify variables, rates and initial conditions in a model

Covered syllabus points

FUN-7.A—Interpret verbal statements of problems as differential equations involving a derivative expression

[Maximum number: 1]

As an ice block melts, the rate at which its mass, M, decreases is directly proportional to the square root of the mass. Which equation describes this relationship?

$\sqrt{M(t)}=k t$

$\frac{d M}{d t}=k \sqrt{t}$

$\frac{d M}{d t}=k \sqrt{M}$

$\frac{d M}{d t}=\frac{k}{\sqrt{M}}$

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Covered syllabus points

Question 1