The function d(t)= 1/2t+2 represents the amount (in inches) of water in a rain barrel for six rainy days, where t​ is the time (in days) since the rainfall began.

a. Find the domain and range?

Graph the function.

b. Interpret the slope and interprets of the graph.

The slope is ____ So, the water amount in the rain barrel changes at a rate of ____ inch per day. The Y -intercept is ____ So, the amount of water in the rain barrel before the rain began was ____ inches. There is no t​ -intercept in this context.