The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet. ​(a​) Find a relationship of the form T=mx+b where T is degrees Fahrenheit and x is altitude in thousands of feet. ​(b​) Find the boiling point at an altitude of 3,100 feet. ​(c​) Find the altitude if the boiling point is 201.5°F.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
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The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at
212°F at sea level and at 193.6°F at an altitude of 10,000
feet.
​(a​)
Find a relationship of the form
T=mx+b
where T is degrees Fahrenheit and x is altitude in thousands of feet.
​(b​)
Find the boiling point at an altitude of
3,100
feet.
​(c​)
Find the altitude if the boiling point is
201.5°F.
(d​) Graph T and illustrate the answers to (​b) and (c​)on the graph.
OA.
OB.
OC.
O D.
AY
220-
AY
220
200-
200-
200-
180-
180-
180-
160-
180
160-
160-
10
20
20
20
20
Temperature (F)
Temperature CF)
Temperature (F)
Temp erature CF)
Transcribed Image Text:OA. OB. OC. O D. AY 220- AY 220 200- 200- 200- 180- 180- 180- 160- 180 160- 160- 10 20 20 20 20 Temperature (F) Temperature CF) Temperature (F) Temp erature CF)
The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude.
Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet.
(a) Find a relationship of the form T= mx + b where T is degrees Fahrenheit and x is altitude in thousands of
feet.
(b) Find the boiling point at an altitude of 3,100 feet.
(c) Find the altitude if the boiling point is 201.5°F.
(d) Graph T and illustrate the answers to (b) and (c) on the graph.
Transcribed Image Text:The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet. (a) Find a relationship of the form T= mx + b where T is degrees Fahrenheit and x is altitude in thousands of feet. (b) Find the boiling point at an altitude of 3,100 feet. (c) Find the altitude if the boiling point is 201.5°F. (d) Graph T and illustrate the answers to (b) and (c) on the graph.
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