A chart from Dicks Sporting Goods gives the recommended bat

A chart from Dick\'s Sporting Goods gives the recommended bat length B in inches for a man weighing between 161 and 170 pounds as a function of his height h in inches. The table is partially reproduced below.

h = Height

B = Bat length

45–483049–523153–563157–603261–643265–683369–723373+33

(a) Explain in practical terms the meaning of 

B(55).

B(55) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 46 inches.B(55) is the height of a man weighing 55 pounds if his recommended bat length is between 161 and 170 inches.    B(55) is the height of a man weighing between 161 and 170 pounds if his recommended bat length is 55 inches.B(55) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 55 inches.B(55) is the weight of a man if his recommended bat length is 30 and his height is 55 inches.

Give the value of 

B(55).

 
 in 

(b) Use functional notation to express the recommended bat length for a man weighing between 161 and 170 pounds if his height is 46 inches.

Solution

(a) The table is not too clear so the answer is on a best effort basis. Since B represents the bat length in inches, B(55) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 55 inches. From the table, it appears that the value of B(55) is 31 inches( as 55 falls in 53-56 bracket).

(b) The recommended bat length for a man weighing between 161 and 170 pounds, if his height is 46 inches, is 30 inches which can be expressed as B(46) = 30.