Final answer:
The equation that expresses Jeremy's distance from his house as a function of time is d = 50 + 3t.
Step-by-step explanation:
To write an equation that expresses Jeremy's distance, d, in feet from his house as a function of time, t, in seconds, we need to consider that he walked 50 feet away from his house before turning on his GPS watch. After turning on the watch, he continues walking away from his house at a rate of 3 feet per second in the same direction.
The equation that represents Jeremy's distance from his house can be written as:
d = 50 + 3t
where d represents the distance from his house in feet and t represents the time in seconds since he turned on his GPS watch.
This equation takes into account the initial distance of 50 feet and adds the distance traveled at a rate of 3 feet per second as time increases.