Situation 1: For every mile on the treadmill, you burn x^8 calories. linear or non- linear
Situation 2: In the store, you pay 4 dollars for every notebook.linear or non- linear
Situation 1: The relationship between the number of miles on the treadmill and the number of calories burned is non-linear. This is because the number of calories burned is determined by raising x to the power of 8, which is an exponent. As x increases, the rate at which the calories burned increase also increases exponentially.
Situation 2: The relationship between the number of notebooks bought and the amount paid is linear. This is because for every notebook bought, the cost remains constant at 4 dollars. There is a constant rate of change, and the relationship between the variables can be represented by a straight line on a graph.