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AP® Calculus AB-BC

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Given the Differential Equation with an Initial Condition

APCALC-3F3Z@B

If $\cfrac { dy }{ dt } =-4y$ and if $y=1$ when $t=0$, what is the value of $t$ for which $y=\cfrac { 1 }{ 2 } $?

A

$\cfrac { \ln { 2 } }{ 4 } $

B

$-\cfrac { \ln { 4 } }{ 2 } $

C

$-\cfrac { 1 }{ 4 } $

D

$-\cfrac { \ln { 2 } }{ 4 } $