Answer:
![T(x)=84-2x](https://img.qammunity.org/2021/formulas/mathematics/high-school/vaujpjytz178ukgn56y6v5g6wv655div9c.png)
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:
![\mathbf{T(x)=84-2x}](https://img.qammunity.org/2021/formulas/mathematics/high-school/zjbfpfac5ukzpdx3wyzoyz2sam8nkfrnux.png)
This is the linear equation that represents the described situation.