Final answer:
If the woman runs at a speed of r mi/hr, her cycling speed is 'r + 8 mi/hr'. This represents a simple linear relationship between her running and cycling speeds.
Step-by-step explanation:
The student has asked about a woman's cycling speed given that she cycles 8 mi/hr faster than she runs. If the woman runs at a speed of r mi/hr, her cycling speed is 'r + 8 mi/hr'. This represents a simple linear relationship between her running and cycling speeds.
If her running speed is r mi/hr, then her cycling speed would simply be her running speed plus 8 mi/hr, since the question mentions that she cycles faster by this amount. If the woman runs at a speed of r mi/hr, her cycling speed is 'r + 8 mi/hr'. This represents a simple linear relationship between her running and cycling speeds. Therefore, her cycling speed would be r + 8 mi/hr.