Answer:
Day 44
Step-by-step explanation:
Given function:
[tex]f(t)=500t^2[/tex]
where:
- f = number of daily hits
- t = times (in days)
To find the day on which the number of daily hits reaches 1,000,000, set the function to 1,000,000 and solve for t:
[tex]\begin{aligned}f(t) & =1000000\\ \implies 500t^2 & = 1000000\\ t^2&=\dfrac{1000000}{500}\\ t^2 & = 2000\\ t & = \pm \sqrt{2000}\\ t & = \pm 44.72135955...\end{aligned}[/tex]
As time in positive, t = 44.72135955 only.
This tells us that the number of daily hits reaches 1,000,000 during the 44th day.
