There is a hiking trail near the town where Han and Jada live that starts at a parking lot and ends at a lake. Han and Jada both decide to hike from the parking lot to the lake and back, but they start their hikes at different times. At the time that Han reaches the lake and starts to turn back, Jada is 0.6 miles away from the parking lot and hiking at a constant speed of 3.2 miles per hour toward the lake. Han’s distance, d, from the parking lot can be expressed as d=-2.4t+4.8d = − 2.4 t + 4.8, where t represents the time in hours since he left the lake. What is an equation for Jada’s distance from the parking lot as she heads toward the lake?
draw both graphs: one representing Han’s equation and one representing Jada’s equation. It is important to be very precise.
Find the point where the two graphs intersect each other. What are the coordinates of this point?
What do the coordinates mean in this situation?
What has to be true about the relationship between these coordinates and Jada’s equation?
What has to be true about the relationship between these coordinates and Han’s equation?