The water level in a retention pond started a 5 ft (60 in.) and decreased at a rate of 2 in./day during a 14-day drought.

The water level in a retention pond started a 5 ft (60 in.) and decreased at a rate of 2 in./day during a 14-day drought. A tropical depression moved through at the beginning of the 15 day and proceed rain at an average rate of 2.4 in./day for 5 days. 

a. a piecewise - defined function to model the water level L(x) (in inches) as a function of the number of days x since the beginning of the drought. 

b. Graph the function.