Answer:
It's difficult to determine the best model for the given data without additional context or information on the nature of the views (e.g. is it a viral video, a niche topic, etc.). However, we can use the data to evaluate each model and see which one provides the best fit.
We can start by plotting the data points on a graph with time (t) on the x-axis and views (V) on the y-axis. From the given data, we have the following points:
(0, 50), (2, 313), (4, 1950), (6, 12210), (8, 76300), (10, 476800)
Plotting these points, we can see that the data seems to be exponential in nature, with a steep increase in views over time.
Using this observation, we can eliminate the first two models since they are linear, and the data does not seem to follow a linear pattern.
The third model, V(t) = 50 * (6.25)^t, seems to be too steep and does not fit the data well.
The fourth model, V(t) = 50 * (2.5)^t, appears to be a better fit for the data, as it captures the exponential growth pattern we observe. This model has a growth factor of 2.5, which means that the number of views is increasing by a factor of 2.5 each month.
Therefore, the best model for the given data is:
V(t) = 50 * (2.5)^t.
Step-by-step explanation: