Answer:
[tex] F = mt +b[/tex]
From the info given we know that m =-11 and we have a condition given:
[tex] F =90 , t =4[/tex]
Using this condition we have:
[tex] 90 = -11*4 +b[/tex]
And solving for b we got:
[tex] 90 +4*11 = 90 +44= 134[/tex]
So then the original temperatue for this case is 134 F
Step-by-step explanation:
For this case we know that after four hours the temperature was 90 f and the temperature dropped 11 f per hour.
We can use a linear model to solve the problem given by:
[tex] F = mt +b[/tex]
Where F represent the temperature, t the time in hours and m the slope and b the intercept.
From the info given we know that m =-11 and we have a condition given:
[tex] F =90 , t =4[/tex]
Using this condition we have:
[tex] 90 = -11*4 +b[/tex]
And solving for b we got:
[tex] 90 +4*11 = 90 +44= 134[/tex]
So then the original temperatue for this case is 134 F
