A scuba diver was at a depth of 15 m below the surface when she saw something interesting about 10 m lower. She made the descent in 10.1 seconds interpret the quote and it to describe the rate of change in the divers death give your answer to the nearest hundred.
The given scenario describes a scuba diver who was initially at a depth of 15 meters below the surface. The diver noticed something interesting about 10 meters lower and subsequently descended to that point. The descent took 10.1 seconds.
To interpret the "quote" and describe the rate of change in the diver's depth, we need to find the rate at which the diver's depth changed during the descent.
Rate of change can be calculated by dividing the change in the quantity by the time it takes for the change to occur. In this case, the change in the diver's depth is 10 meters (as she descended to a point 10 meters lower). The time taken for this change is 10.1 seconds.
Therefore, the rate of change in the diver's depth is:
Rate of change = Change in depth / Time taken
= 10 meters / 10.1 seconds
Calculating this, we find:
Rate of change ≈ 0.99 meters/second
Rounding to the nearest hundred, the rate of change in the diver's depth is approximately 1 meter/second.
To interpret the quote and describe the rate of change in the diver's depth, we need to calculate the average rate of descent.
We are given that the scuba diver descended from a depth of 15 m below the surface to a depth of 10 m below that, in a time of 10.1 seconds.
The change in the diver's depth is 15 m - 10 m = 5 m.
The time it took for this change is 10.1 seconds.
To find the average rate of change, we divide the change in depth by the time taken:
Average rate of change = Change in depth / Time taken = 5 m / 10.1 s
Calculating this, we get:
Average rate of change = 0.495 m/s
Therefore, the average rate of change in the diver's depth is approximately 0.495 m/s.
To describe the rate of change in the diver's depth, we need to calculate the average rate at which the diver descended. In this case, the diver made the descent of 10 meters in 10.1 seconds.
To find the rate of change, we divide the change in depth by the time taken. So, the rate of change would be:
Rate of change = Change in depth / Time taken
Change in depth = 10 meters
Time taken = 10.1 seconds
Plugging in these values, we get:
Rate of change = 10 meters / 10.1 seconds
Calculating this gives us approximately 0.99 meters per second (rounded to the nearest hundredth).
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.