Use the Given Conditions to Write an Equation for the Line

Multiple Choice

Use the given conditions to write an equation for the line in slope-intercept form.
-For a culture of 70,000 bacteria of a certain strain, the number of bacteria $\mathrm { N }$ that will survive $x$ hours is modeled by the formula $N = 7000 \sqrt { 100 - x }$ . After how many hours will 63,000 bacteria survive?

A) $81 \mathrm { hr }$
B) $37 \mathrm { hr }$
C) $19 \mathrm { hr }$
D) $91 \mathrm { hr }$