The number of Facebook employees are shown in the table for various years.Letf(t)be the number of Facebook employees att years since 2005.

year: 2006 2007 2010 2013 2016 2019

# of empolyees: 150 450 2127 6337 17,048 44,942

(a) Find an exponential model forf(t)=ab^t Round all numbers to 3 decimal places.

(b) Use the exponential model to predict the number of Facebook employees in 2021.Round to the nearest employee.

(c) Use the exponential model to predict when the number of Facebook employees will equal 200 thousand.Round your answer to the nearest year.Show your work.