Answered: A chart from Dick's Sporting Goods…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

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.

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.