AP® Calculus AB-BC

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Difficult

Proportional Rate Of Change

APCALC-YDHEER

If the rate of change in $y$ with respect to $x$ is proportional to $y$, find $y$ if $(-1, 1)$ and $(0,3)$ are solutions to the curve.

A

$y=3{ e }^{ x\ln { 3 } }$

B

$y=9x$

C

$y=x$

D

$y=3{ e }^{ x\ln { \frac{1}{3} } }$