The accompanying table shows the relationship between the length L, in centimeters, and the weight W, in grams, of the North Sea plaice (a type of flatfish).t L 28.5 213 30.5 259 32.5 308 34.5 363 36.5 419 38.5 500 40.5 574 42.5 674 44.5 808 46.5 909 48.5 1124 (a) Find a formula that models W as a power function of L. W = 0.0082 x L2.9 W = 0.0077 x L2.4 W = 0.0078 × L3.2 o w = 0.0076 x L3.0 W = 0.0085 x L3.3 (b) Explain in practical terms what W(29) means. W(29) is the (weight, in grams +v , of a North Sea plaice of ( length L = 29 centimeters Calculate that value. (Round your answer to two decimal places.) W(29) = grams (c) If one plaice were twice as long as another, how much heavier than the other should it be? times as heavy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The accompanying table shows the relationship between the length L, in centimeters, and the weight W, in grams, of the North Sea plaice (a type of flatfish).†
W
28.5
213
30.5
259
32.5
308
34.5
363
36.5
419
38.5
500
40.5
574
42.5
674
44.5
808
46.5
909
48.5
1124
(a) Find a formula that models W as a power function of L.
W = 0.0082 × L2.9
W = 0.0077 × L2.4
W = 0.0078 × / 3.2
o W = 0.0076 × L3.0
O W = 0.0085 x L3.3
(b) Explain in practical terms what W(29) means.
W(29) is the ( weight, in grams
of a North Sea plaice of length L = 29 centimeters +
Calculate that value. (Round your answer to two decimal places.)
W(29) =
grams
(c) If one plaice were twice as long as another, how much heavier than the other should it be?
times as heavy
Transcribed Image Text:The accompanying table shows the relationship between the length L, in centimeters, and the weight W, in grams, of the North Sea plaice (a type of flatfish).† W 28.5 213 30.5 259 32.5 308 34.5 363 36.5 419 38.5 500 40.5 574 42.5 674 44.5 808 46.5 909 48.5 1124 (a) Find a formula that models W as a power function of L. W = 0.0082 × L2.9 W = 0.0077 × L2.4 W = 0.0078 × / 3.2 o W = 0.0076 × L3.0 O W = 0.0085 x L3.3 (b) Explain in practical terms what W(29) means. W(29) is the ( weight, in grams of a North Sea plaice of length L = 29 centimeters + Calculate that value. (Round your answer to two decimal places.) W(29) = grams (c) If one plaice were twice as long as another, how much heavier than the other should it be? times as heavy
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