(a)
Let's compare the given function with the slope-intercept form of the linear equation:
Where m is the slope and b is the y-intercept.
Comparing the given equation with this model, the slope is equal to 15887.
(b)
The slope means the increase in the function value for each unitary increase in the value of x.
For this problem, it means the number of messages is increasing by 15887 thousand each year.
Therefore the correct option is C.