Final answer:
The word problem is about a temperature decrease at a constant rate, which can be described using a linear relationship. The correct equation matching the scenario where the starting temperature is 65 degrees and it drops by 2 degrees every hour is T(t) = 65 - 2t.
Step-by-step explanation:
The question asks for the equation that matches the word problem where the temperature outside is 65 degrees and is expected to drop at a rate of 2 degrees every hour.
To create the correct equation, we can use a linear equation in the form of T(t) = T0 - rt, where T(t) represents the temperature at time t, T0 is the initial temperature, and r is the rate of temperature change per hour. In this case, T0 is 65 degrees and r is 2 degrees per hour.
Therefore, the correct equation to describe this situation is:
T(t) = 65 - 2t
This equation indicates that the temperature T at any given time t will be the starting temperature of 65 degrees minus 2 times the number of hours that have passed.