Concept explainers
To state: The comparison between the ages of two elephants, one with a shoulder height of 150 centimeters and the other with a shoulder height of 250 centimeters, biologists have discovered that the shoulder height h (in centimeters) of a male African elephant can be modeled by
The elephant with a shoulder height of 250 cm is about 20 years older than the elephant with a shoulder height of 150 cm.
Given information:
The equation is
Formula used:
Raise each side of the equation to the same power.
Calculation:
Write the original equation:
Substitute the 150 into the equation,
Subtract 75.8 from both sides of the equation,
Now divide both sides by 62.5,
Cube each side of the equation,
Therefore, the age of the elephant with a shoulder height of 150 centimeters is 1.67 years.
Now substitute the 250 into the equation,
Subtract 75.8 from both sides of the equation,
Now divide both sides by 62.5,
Cube each side of the equation,
Therefore, the age of the elephant with a shoulder height of 250 centimeters is 21.65 years.
Chapter 3 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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