Given the model equation of the first question:
![y=140.9x+370.4](https://img.qammunity.org/2023/formulas/mathematics/college/jbtxzdlm91k4du372t7733p5hljpz2cpn7.png)
And assuming "x" stands for the time, "t", in days, we can calculate which day, "x", the number of infected people will reach 7000 by setting y = 7000 and solving for x:
![\begin{gathered} y=140.9x+370.4 \\ y=7000 \\ 7000=140.9x+370.4 \\ 140.9x=7000-370.4 \\ 140.9x=6629.6 \\ x=(6629.6)/(140.9) \\ x=47.05\ldots\approx47 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/p60cmsfrp564ku57dg0j5ze0xkz7r01rxr.png)
So, the number of infected people will reach 7000 around day 47.