5
advanced-math

A video goes viral. Views double every 2 hours. If it has 500 views now, how many views after 6 hours?

A

4,000 views

B

1,500 views

C

3,000 views

D

2,000 views

Correct Answer: A

Choice A is the correct answer. Apply the doubling pattern.

  1. Time Periods: 6 hours = 3 periods of 2 hours each.
  2. Formula: V(t)=500(2)t/2V(t) = 500(2)^{t/2} where tt is hours.
  3. Calculate: V(6)=500(2)6/2=500(2)3=500(8)=4000V(6) = 500(2)^{6/2} = 500(2)^3 = 500(8) = 4000.

💡 Strategic Tip: Number of doublings = total timedoubling period\frac{\text{total time}}{\text{doubling period}}.

Choice B is incorrect because this adds 500 three times (linear). Choice C is incorrect because this is 500×6500 \times 6. Choice D is incorrect because this is only one doubling.