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Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the rate of change of her position?

Answer :

Final answer:

Michelle is moving at a rate of -5.84 meters per minute. The negative sign indicates she is moving downwards, deeper into the water.

Explanation:

The question is asking for the rate of change of Michelle's position while scuba diving. In this case, it's a physical application of a mathematical concept often referred to as calculating velocity or speed. To calculate the rate of change, we need to know the difference in position and the time it took for this change to occur. Michelle's position change is from -2.1 m to -38.6 m, this gives us a total change of -38.6 - (-2.1) which equals to -36.5 m. The time interval is given as 6 1/4 min, which we write as 6.25 min when considering it in decimal units. Now, rate of change (or speed in this context) is calculated by dividing the change in position by the change in time. So, Michelle's speed will be -36.5 m / 6.25 min, equals -5.84 m/min. The negative sign indicates that Michelle is moving downwards, deeper into the water.

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