nathan is running on a treadmill. the treadmill says that he is burning calories at a rate of 12.6 calories…

nathan is running on a treadmill. the treadmill says that he is burning calories at a rate of 12.6 calories per minute. suppose nathan decreases his pace and is now only burning 9.5 calories per minute. what part of the graph below would change? the y - intercept the graph would remain the same. the slope the x - intercept

nathan is running on a treadmill. the treadmill says that he is burning calories at a rate of 12.6 calories per minute. suppose nathan decreases his pace and is now only burning 9.5 calories per minute. what part of the graph below would change? the y - intercept the graph would remain the same. the slope the x - intercept

Answer

Answer:

C. the slope

Explanation:

Step1: Understand the relationship

The relationship between calories burned ((y)) and time ((x)) is a linear relationship of the form (y = mx + b), where (m) is the slope and (b) is the (y) - intercept.

Step2: Analyze the meaning of slope and intercepts

The (y) - intercept ((b)) represents the calories burned when (x = 0) (initial value, which is (0) in this case as no time has passed initially). The (x) - intercept is when (y=0) (also (0) here as at (x = 0), (y = 0)). The slope (m) represents the rate of change. Here, the rate of burning calories is the slope. Initially (m_1=12.6) (calories per minute), and after changing the pace (m_2 = 9.5) (calories per minute). Since the rate (slope) of calorie - burning has changed, the slope of the graph changes.