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 45–48 30 49–52 31 53–56 31 57–60 32 61–64 32 65–68 33 69–72 33 73+ 33 (a) Explain in practical terms the meaning of  B(51). B(51) is the weight of a man if his recommended bat length is 30 and his height is 51 inches.B(51) is the height of a man weighing between 161 and 170 pounds if his recommended bat length is 51 inches.    B(51) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 51 inches.B(51) is the height of a man weighing 51 pounds if his recommended bat length is between 161 and 170 inches.B(51) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 55 inches. Give the value of  B(51).  in (b) Use functional notation to express the recommended bat length for a man weighing between 161 and 170 pounds if his height is 55 inches. B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
45–48 30
49–52 31
53–56 31
57–60 32
61–64 32
65–68 33
69–72 33
73+ 33
(a) Explain in practical terms the meaning of 
B(51).

B(51) is the weight of a man if his recommended bat length is 30 and his height is 51 inches.B(51) is the height of a man weighing between 161 and 170 pounds if his recommended bat length is 51 inches.    B(51) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 51 inches.B(51) is the height of a man weighing 51 pounds if his recommended bat length is between 161 and 170 inches.B(51) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 55 inches.

Give the value of 
B(51).

 in

(b) Use functional notation to express the recommended bat length for a man weighing between 161 and 170 pounds if his height is 55 inches.
B
 
  
 
Expert Solution
Step 1

Sol:-

(a)

The meaning of B(51) is the recommended bat length for a man with a height of 51 inches who weighs between 161 and 170 pounds.

Therefore, the correct answer is "B(51) is the recommended bat length for a man weighing between 161 and 170 pounds if his height is 51 inches."

To find the value of B(51), we look at the table and see that for a height of 49-52 inches, the recommended bat length is 31 inches. Since 51 inches is within this range, we can assume that B(51) is also 31 inches.

Therefore, B(51) = 31 inches.

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Follow-up Question

The following is a partial table of values for 

f = f(x).
x
f = f(x)
0 5.5
5 4.7
10 1.3
15 −3.7
20 −7.9

Calculate the average rate of change from 

x = 0

 to 

x = 5.




Use your answer to estimate the value of 

f(1).

 (Round your answer to one decimal place.)

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