How do you write the corresponding rectangular equation for x=e^(t-1) and y=e^3t?

Question

I know how to do this but the e^t part is confusing me

Answer 1

Lauren,

You want to eliminate the parameter t by solving for t in y=e^3t, lny=3t so t=1/3lny sub this in the equation for x, x=e^1/3lny-1 so x=y³ *e^-1

Jim