Solve the Problem $2 \%$ Per 100 Years $t$ Represents Time in Years and Y Represents the Amount of Rate

Multiple Choice

Solve the problem.
-A certain radioactive isotope decays at a rate of $2 \%$ per 100 years. If $t$ represents time in years and y represents the amount of the isotope left then the equation for the situation is $y = y 0 e ^ { - 0.0002 t }$ . In how many years will there be $89 \%$ of the isotope left?

A) 550 years
B) 583 years
C) 1100 years
D) 244 years