AP Calculus BC 7.1 Modeling Situations with Differential Equations Questions

Translate statements about changing quantities, proportional rates and contextual relationships into differential equations.

Exam points

identify the governing calculus relationship in the problem
justify the result with symbolic, graphical or contextual evidence

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