Solve the Problem $\mathrm { N }$ That Will Survive $x$ Hours Is Modeled by the Formula

Multiple Choice

Solve the problem.
-For a culture of 30,000 bacteria of a certain strain, the number of bacteria $\mathrm { N }$ that will survive $x$ hours is modeled by the formula $\mathrm { N } = 3000 \sqrt { 100 - \mathrm { x } }$ . After how many hours will 27,000 bacteria survive?

A) $19 \mathrm { hr }$
B) $91 \mathrm { hr }$
C) $73 \mathrm { hr }$
D) $81 \mathrm { hr }$