Final answer:
The question asks for a mathematical representation of the distance as a function of time, given Prachi's initial position and constant speed. Prachi's distance from home after n hours can be calculated using the formula f(n) = 5 km + 70 km/h × (n - 1).
Step-by-step explanation:
The question at hand is a mathematical problem involving kinematics, which is a branch of mechanics in physics that describes the motion of objects without considering the causes of that motion. Prachi’s movement is explained through a relation between her start position, velocity, and time. Using the function f(n), you can determine Prachi’s distance from home after n hours by knowing her initial distance (5 kilometers) and her speed (70 kilometers per hour).
To solve for Prachi’s distance f(n) from her home at the beginning of the nth hour, one could use the formula: f(n) = 5 km + 70 km/h × (n - 1). This linear function reflects that distance changes in a consistent way over time when moving at a constant velocity.