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  $y  =  205.3051 \  °F$

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  

         $y  =  -0.001943(2600) + 210.3569$

=>      $y  =  205.3051 \  °F$