Intro to Exponential Growth — Practice problem

Haharvard University is known for its work in fighting infectious diseases. A new disease, ROFLitis, has recently plagued the country and Haharvard is working to create a vaccine. Once infected, the disease has three stages:

Stage 1: Inability to sit or stand.
Stage 2: Constant rolling.
Stage 3: Uncontrollable laughing.

As of one hour ago, the virus made it out of the lab and began spreading throughout the campus. Not to name names, but this is entirely Blake’s fault. The university will declare a state of emergency when $60\%$ of the students and faculty have been infected. If Hahavard has a population of $10,000$ , how long until there is a state of emergencyhehehehehe oh gosh…itsgottenmeehehehehehehelp lollllllmaoooroflllll?

$\\$

The spread of the virus is modeled below $y=\frac{10,000}{1+9,998e^{-0.7t}}$