High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 5.4, Problem 29PPE
To determine

To find:Write an equation of the boiling point b of waterin terms the altitude a and also find the boilingpoint of water at 2500 ft .

Expert Solution & Answer
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Answer to Problem 29PPE

The equation of the boiling point b of waterin terms the altitude a is b=−0.0018 a+212 .

The boiling point of water at 2500 ft is b=207.5οF .

Explanation of Solution

Given info:

The relationship between an altitude and the boiling point of water is linear.

Consider the boiling point of water when it is at an altitude of 8000 ft is y1= 197.6οF

Consider an altitude when the boiling point of water at y1= 197.6οF is x1=8000 ft

Consider the boiling point of water when it is at an altitude of 4500 ft is y2= 203.9οF

Consider an altitude when the boiling point of water at y2= 203.9οF is x2=4500 ft

The equation of the boiling point b should be written in terms of an altitude a .

Consider an altitude when the boiling point of water b is a=2500 ft .

Formula used:

Show the point−slope formula to find slope to make boiling point equation b as follows:

  m=y2−y1x2−x1

Show the equation of boiling point b in terms of an altitude a as follows:

  b−y1=m(a−x1)

Calculation:

Find the slope using boiling point and altitude values as follows:

  m=y2−y1x2−x1m=203.9−197.64500−8000m=−6.33500m=−0.0018

Find the equation of boiling point b in terms of an altitude a as follows:

  b−y1=m(a−x1)b−(197.6)=−0.0018(a−(8000))b−197.6=−0.0018 a+ 14.4b=−0.0018 a + 14.4+197.6b=−0.0018 a+212

Find the value of boiling point b of an altitude a=2500 ft as follows:

  b=−0.0018 a+212b=−(0.0018*2500) +212b=−4.5+212b=207.5

Hence, the equation of the boiling point b of waterin terms the altitude a is b=−0.0018 a+212 .

Hence, the boiling point of water at 2500 ft is b=207.5οF .

Conclusion:

Thus, the equation of the boiling point b of waterin terms the altitude a is b=−0.0018 a+212 .

Thus, the boiling point of water at 2500 ft is b=207.5οF .

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Chapter 5 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
Ch. 5.1 - Prob. 7LCCh. 5.1 - Prob. 8PPECh. 5.1 - Prob. 9PPECh. 5.1 - Prob. 10PPECh. 5.1 - Prob. 11PPECh. 5.1 - Prob. 12PPECh. 5.1 - Prob. 13PPECh. 5.1 - Prob. 14PPECh. 5.1 - Prob. 15PPECh. 5.1 - Prob. 16PPECh. 5.1 - Prob. 17PPECh. 5.1 - Prob. 18PPECh. 5.1 - Prob. 19PPECh. 5.1 - Prob. 20PPECh. 5.1 - Prob. 21PPECh. 5.1 - Prob. 22PPECh. 5.1 - Prob. 23PPECh. 5.1 - Prob. 24PPECh. 5.1 - Prob. 25PPECh. 5.1 - Prob. 26PPECh. 5.1 - Prob. 27PPECh. 5.1 - Prob. 28PPECh. 5.1 - Prob. 29PPECh. 5.1 - Prob. 30PPECh. 5.1 - Prob. 31PPECh. 5.1 - Prob. 32PPECh. 5.1 - Prob. 33PPECh. 5.1 - Prob. 34PPECh. 5.1 - Prob. 35PPECh. 5.1 - Prob. 36PPECh. 5.1 - Prob. 37PPECh. 5.1 - Prob. 38PPECh. 5.1 - Prob. 39PPECh. 5.1 - Prob. 40PPECh. 5.1 - Prob. 41PPECh. 5.1 - Prob. 42PPECh. 5.1 - Prob. 43PPECh. 5.1 - Prob. 44PPECh. 5.1 - Prob. 45PPECh. 5.1 - Prob. 46PPECh. 5.1 - Prob. 47PPECh. 5.1 - Prob. 48PPECh. 5.1 - Prob. 49PPECh. 5.1 - Prob. 50PPECh. 5.1 - Prob. 51PPECh. 5.1 - Prob. 52PPECh. 5.1 - Prob. 53PPECh. 5.1 - Prob. 54PPECh. 5.1 - 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Prob. 72MRCh. 5.5 - Prob. 73MRCh. 5.5 - Prob. 74MRCh. 5.5 - Prob. 75MRCh. 5.5 - Prob. 76MRCh. 5.5 - Prob. 77MRCh. 5.5 - Prob. 1CBCh. 5.5 - Prob. 2CBCh. 5.5 - Prob. 3CBCh. 5.5 - Prob. 4CBCh. 5.5 - Prob. 5CBCh. 5.5 - Prob. 6CBCh. 5.5 - Prob. 7CBCh. 5.5 - Prob. 8CBCh. 5.5 - Prob. 9CBCh. 5.5 - Prob. 10CBCh. 5.5 - Prob. 11CBCh. 5.5 - Prob. 12CBCh. 5.5 - Prob. 13CBCh. 5.5 - Prob. 14CBCh. 5.5 - Prob. 15CBCh. 5.5 - Prob. 16CBCh. 5.5 - Prob. 17CBCh. 5.5 - Prob. 18CBCh. 5.5 - Prob. 19CBCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 1LCCh. 5.6 - Prob. 2LCCh. 5.6 - Prob. 3LCCh. 5.6 - Prob. 4LCCh. 5.6 - Prob. 5LCCh. 5.6 - Prob. 6LCCh. 5.6 - Prob. 7PPECh. 5.6 - Prob. 8PPECh. 5.6 - Prob. 9PPECh. 5.6 - Prob. 10PPECh. 5.6 - Prob. 11PPECh. 5.6 - Prob. 12PPECh. 5.6 - Prob. 13PPECh. 5.6 - Prob. 14PPECh. 5.6 - Prob. 15PPECh. 5.6 - Prob. 16PPECh. 5.6 - Prob. 17PPECh. 5.6 - Prob. 18PPECh. 5.6 - Prob. 19PPECh. 5.6 - Prob. 20PPECh. 5.6 - Prob. 21PPECh. 5.6 - Prob. 22PPECh. 5.6 - 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Prob. 22PPECh. 5.7 - Prob. 23STPCh. 5.7 - Prob. 24STPCh. 5.7 - Prob. 25STPCh. 5.7 - Prob. 26STPCh. 5.7 - Prob. 27MRCh. 5.7 - Prob. 28MRCh. 5.7 - Prob. 29MRCh. 5.7 - Prob. 30MRCh. 5.7 - Prob. 31MRCh. 5.7 - Prob. 32MRCh. 5.7 - Prob. 33MRCh. 5.7 - Prob. 5CBCh. 5.7 - Prob. 6CBCh. 5.8 - Prob. 1PCh. 5.8 - Prob. 2PCh. 5.8 - Prob. 3PCh. 5.8 - Prob. 4PCh. 5.8 - Prob. 1LCCh. 5.8 - Prob. 2LCCh. 5.8 - Prob. 3LCCh. 5.8 - Prob. 4LCCh. 5.8 - Prob. 5LCCh. 5.8 - Prob. 6PPECh. 5.8 - Prob. 7PPECh. 5.8 - Prob. 8PPECh. 5.8 - Prob. 9PPECh. 5.8 - Prob. 10PPECh. 5.8 - Prob. 11PPECh. 5.8 - Prob. 12PPECh. 5.8 - Prob. 13PPECh. 5.8 - Prob. 14PPECh. 5.8 - Prob. 15PPECh. 5.8 - Prob. 16PPECh. 5.8 - Prob. 17PPECh. 5.8 - Prob. 18PPECh. 5.8 - Prob. 19PPECh. 5.8 - Prob. 20PPECh. 5.8 - Prob. 21PPECh. 5.8 - Prob. 22PPECh. 5.8 - Prob. 23PPECh. 5.8 - Prob. 24PPECh. 5.8 - Prob. 25PPECh. 5.8 - Prob. 26PPECh. 5.8 - Prob. 27PPECh. 5.8 - Prob. 28PPECh. 5.8 - Prob. 29PPECh. 5.8 - Prob. 30PPECh. 5.8 - Prob. 31PPECh. 5.8 - Prob. 32PPECh. 5.8 - 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