Situation 1: For every mile on the treadmill, you burn x^8 calories. Situation 2: In the store, you pay 4 dollars for every notebook.
In Situation 1, the relationship is between the number of miles on the treadmill and the number of calories burned. It is a mathematical relationship where the number of calories burned is directly proportional to x^8.
In Situation 2, the relationship is between the number of notebooks you want to buy and the amount of money you need to pay. It is also a mathematical relationship where the cost of buying notebooks is directly proportional to the number of notebooks you want to purchase.
However, it's worth mentioning that the relationships in these two situations are different in terms of the specific formulas used to calculate them. In Situation 1, the formula to calculate the calories burned would be Calories = x^8, while in Situation 2, the formula to calculate the cost of notebooks would be Cost = 4 * Number of Notebooks.