Question

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

Answer 1

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`

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  =  ( 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`