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4 years ago

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the relationship between altitude and the boiling point is linear.AT an altitude of 8300ft 8300 ft , the liquid

boils at 194.23 194.23 degrees Fahrenheit an altitude of 4200 ft , 4200 ft , the liqiud boils at 202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point b b of the liquid,in degrees fahrenheit in terms of altitude a in feet . feet . What is the boiling point of the liqud at 2600 ft 2600 ft

1 answer:

mojhsa [17]4 years ago

5 0

Complete Question

The relationship between altitude and the boiling point is linear. At an altitude of 8300ft, the liquid boils at 194.23 ° F

At an altitude of 4200 ft , the liquid boils at 202.02° F.

Write an equation giving the boiling point b of the liquid, in terms of altitude a in feet . feet . What is the boiling point of the liquid at 2600ft

Answer:

The equation is $y = -0.001943x + 210.3569$

At 2600ft the temperature is $y = 205.3051 \ °F$

Step-by-step explanation:

From the question we are told that

The temperature at 8300ft is 194.23 ° F

The temperature at 4200 ft is 202.02° F

Generally the slope for this relationship is mathematically represented as

$m = \frac{ 202.2 - 194.23}{ 4200 - 8300}$

=> $m = 0.001943 ^o F / ft$

Generally the according to the point slope formula is

$y - y_1 = m(x -x_1 )$

=> $y - 194.23 = -0.001943 (x - 8300 )$

=> $y - 194.23 = -0.001943x + 16.1269$

=> $y = -0.001943x + 210.3569$

Now we are given from the question that x = 2600 ft

Then

$y = -0.001943(2600) + 210.3569$

=> $y = 205.3051 \ °F$

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