The number of views of a YouTube video increases after the number of hours posted as shown in the table.

Hour ................Number of Views

20 ..................................100

25 ..................................517

30 ................................2015

35 .............................10,248

(a) Use the model y = y₀ e^kx to find an exponential function that gives projected number of views y after number of hours x. Let hour 20 correspond to x = 0, hour 25 correspond to x = 5, and so on, and use the first and last data values given in the table.

(b) Estimate the number of views after 50 hr.