Concept explainers
a.
To approximate:
The fork length of each given species of shark to the nearest centimeter if the shark’s total length is 250 centimeters.
a.
Answer to Problem 39E
Fork length of Bigeye thresher is 158 centimeters.
Fork length of scalloped hammerhead is 194 centimeters.
Fork length of white shark is 230 centimeters.
Explanation of Solution
Given:
The fork length of a shark is the distance from the tip of the shark’s snout to the fork of its tail, as shown:
The table lists equations giving the fork length f as a function of the total length t for three species of sharks, where both f and t are measured in centimeters.
Calculation:
To find the fork length of each species of shark, we will substitute
Therefore, the fork length of Bigeye thresher is 158 centimeters.
Therefore, the fork length of scalloped hammerhead is 194 centimeters.
Therefore, the fork length of white shark is 230 centimeters.
b.
To find:
For each species of shark, what percent of the total length does the fork length represent if the shark is 250 centimeters long? Round your answers to nearest percent.
b.
Answer to Problem 39E
Fork length of Bigeye thresher is 63% of total length.
Fork length of scalloped hammerhead is 78% of total length.
Fork length of white shark is 92% of total length.
Explanation of Solution
Given:
The fork length of a shark is the distance from the tip of the shark’s snout to the fork of its tail, as shown:
The table lists equations giving the fork length f as a function of the total length t for three species of sharks, where both f and t are measured in centimeters.
Calculation:
We will find the fork length of each species is what percent of total length as:
Therefore, the fork length of Bigeye thresher is 63% of total length.
Therefore, the fork length of scalloped hammerhead is 78% of total length.
Therefore, the fork length of white shark is 92% of total length.
c.
Which species of shark do you think has the longest tail relative to its body size? Explain your reasoning.
c.
Answer to Problem 39E
The white shark has the longest tail.
Explanation of Solution
Given:
The fork length of a shark is the distance from the tip of the shark’s snout to the fork of its tail, as shown:
The table lists equations giving the fork length f as a function of the total length t for three species of sharks, where both f and t are measured in centimeters.
Calculation:
We can see from the calculations of part (a) and part (b) that white shark has the longest fork length and its fork length is 92% of the total length.
Therefore, the white shark has the longest tail.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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