Answer:
[tex]T(x)=84-2x[/tex]
Step-by-step explanation:
Linear Modeling
The initial temperature outside is 84 degrees.
We are told the temperature drops 2 degrees every hour.
Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.
That drop is subtracted from the initial temperature to produce the linear model as follows:
[tex]\mathbf{T(x)=84-2x}[/tex]
This is the linear equation that represents the described situation.