What is the expression for the initial amount in terms of a later measurement

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

What is the expression for the initial amount

y_0

in terms of a later measurement

y

, the constant

k

, and the elapsed time

t

when the quantity satisfies

y=y_0 e^{kt}

? (a)

y e^{k t}

(b)

y k t

(c)

y e^{-k t}

(d)

\dfrac{y}{k t}