EBK ALGEBRA 2
EBK ALGEBRA 2
11th Edition
ISBN: 9780544714304
Author: Larson
Publisher: HMH PUB
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Chapter 3.6, Problem 59PS
Solution

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 h=62.5t3+75.8.

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 h=62.5t3+75.8 .

Formula used:

Raise each side of the equation to the same power.

Calculation:

Write the original equation:

  h=62.5t3+75.8

Substitute the 150 into the equation,

  150=62.5t3+75.8

Subtract 75.8 from both sides of the equation,

  15075.8=62.5t3+75.875.874.2=62.5t3

Now divide both sides by 62.5,

  74.262.5=62.5t362.51.19t3

Cube each side of the equation,

  1.193t33t1.67

Therefore, the age of the elephant with a shoulder height of 150 centimeters is 1.67 years.

Now substitute the 250 into the equation,

  250=62.5t3+75.8

Subtract 75.8 from both sides of the equation,

  25075.8=62.5t3+75.875.8174.2=62.5t3

Now divide both sides by 62.5,

  174.262.5=62.5t362.52.79t3

Cube each side of the equation,

  2.793t33t21.65

Therefore, the age of the elephant with a shoulder height of 250 centimeters is 21.65 years.

Chapter 3 Solutions

EBK ALGEBRA 2

Ch. 3.1 - Prob. 11GPCh. 3.1 - Prob. 12GPCh. 3.1 - Prob. 13GPCh. 3.1 - Prob. 14GPCh. 3.1 - Prob. 15GPCh. 3.1 - Prob. 16GPCh. 3.1 - Prob. 17GPCh. 3.1 - Prob. 18GPCh. 3.1 - Prob. 19GPCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - 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