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Please show all work and calculations! The table below shows the typical mass of

ID: 3228556 • Letter: P

Question

Please show all work and calculations!

The table below shows the typical mass of eight sea animals.

Animal

Body mass (kg)

Blue whale

190,000

Killer whale

5,987

Bluefin tuna

684

Bottlenose dolphin

650

Maui’s dolphin

40

Flounder

6.8

Starfish

5

Spongebob Squarepants

0.02

Plot and label these values on a log scale. (2 pts)

If an average human is 1.93 orders of magnitude lighter than a Killer whale, what is the weight of an average human in kg? (1 pt)

How many times larger is a Killer whale than a Maui’s dolphin? (1 pt)

How many orders of magnitude larger is a Killer whale than a Maui’s dolphin? (1 pt)

Animal

Body mass (kg)

Blue whale

190,000

Killer whale

5,987

Bluefin tuna

684

Bottlenose dolphin

650

Maui’s dolphin

40

Flounder

6.8

Starfish

5

Spongebob Squarepants

0.02

Explanation / Answer

1) Weight of human male = e^[ln(5987)/1.93] = 90.6

2)Ratio = 5987/40 = 149.675

3) Ratio = ln(5987)/ln(40) = 2.35

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