(a)

The model for the average typing speed is ,  where  represents the weeks and  represents typing  speed in word per minute.

Table of contents of typing speeds of the student after  weeks :

Graph :

Draw a coordinate plane.

Plot the points obtained in the in the above table.

Connect those points with a smooth curve.

Graph of the function .

(b)

Observe the graph,

The typing speed is limited to  words per minute.

(a)

Graph of the function .

(b)

Yes, the typing speed is limited to  words per minute.