Question 847275
{{{y=100}}} when {{{x=0}}}
{{{y=50}}} when {{{x=3}}}
{{{y(t)=ae^(kx)}}}
{{{y(0)=ae^(0)=a=100}}}
{{{a=100}}}
{{{y(3)=100e^(3k)=50}}}
{{{e^(3k)=1/2}}}
{{{3k=ln(1/2)}}}
{{{k=(1/3)ln(1/2)=-0.231}}}
{{{y(x)=100e^(-0.231x)}}}

{{{graph(300,300,-3,10,-10,150,100e^(-0.231x))}}}