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
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 |
Give the value of
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.
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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The following is a partial table of values for
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
to
Use your answer to estimate the value of
(Round your answer to one decimal place.)