Solve the Problem $\mathrm{dy} / \mathrm{dt}=100-\mathrm{y}$ , Where $\mathrm{y}$ Is the Number of Bacteria (In Thousands) at Time

Multiple Choice

Solve the problem.
-The rate of change in the number of bacteria (in thousands) in a culture after the introduction of a bactericide is $\mathrm{dy} / \mathrm{dt}=100-\mathrm{y}$ , where $\mathrm{y}$ is the number of bacteria (in thousands) at time $t$ . How many bacteria are present at $t=12$ if the initial population was $1,000,000$ thousand? (Round results to the nearest thousand bacteria.)

A) $162,739 \times 10^{6}$ thousand bacteria
B) 94 thousand bacteria
C) 106 thousand bacteria
D) 6 thousand bacteria