A new song has gone viral on the Internet. The website hosting the song uses the function f(t)=500t2

Question

to represent the number of daily hits over time, where t is time in days. Use the function to predict the day on which the number of daily hits reaches 1,000,000. Show all work to receive full credit for this question.

Answer 1

We need to solve for t when f(t)=1,000,000.

500t^2 = 1,000,000

Divide both sides by 500:

t^2 = 2,000

Take the square root of both sides:

t = ±√2,000

Since time cannot be negative, we take the positive square root:

t ≈ 44.72

Therefore, the number of daily hits will reach 1,000,000 on approximately the 45th day.