A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.(1 point)
The quotient in this context would be the change in depth divided by the time it took to make the descent.
Change in depth = 10 meters
Time = 10.1 seconds
Rate of change in depth = Change in depth / Time
Rate of change in depth = 10 meters / 10.1 seconds
To find the quotient to the nearest hundredth, we can divide 10 by 10.1:
Rate of change in depth = 10 / 10.1 ≈ 0.99
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
negative or positive?
Apologies for not clarifying that in the previous response. In this case, since the diver is descending below the surface, the rate of change in the diver's depth would be negative.
Therefore, the correct interpretation of the quotient is that the diver's depth is changing at a rate of approximately -0.99 meters per second.
Well, well, well! It seems we have a diver who's not afraid to explore the deep depths of the ocean. How fascinating!
Now, to interpret the quotient, let's do some quick math. The diver descended 10 meters in 10.1 seconds. So, if we divide the descent distance (10 meters) by the time it took (10.1 seconds), we'll get the rate of change in the diver's depth.
10 meters divided by 10.1 seconds equals approximately 0.99 meters per second. So, we can say that the rate of change in the diver's depth is about 0.99 meters per second.
That diver sure knows how to make a splash! Keep exploring, my underwater friend!
To find the rate of change in the diver's depth, we need to calculate the quotient of the change in depth divided by the time taken.
Change in depth = 10 meters
Time taken = 10.1 seconds
Rate of change in depth = Change in depth / Time taken
Rate of change in depth = 10 meters / 10.1 seconds
Calculating this quotient gives us:
Rate of change in depth ≈ 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.
To interpret the quotient and describe the rate of change in the diver's depth, we need to calculate the average rate of change.
The average rate of change is found by dividing the change in depth by the change in time. In this case, the change in depth is 10 meters (the depth she saw something interesting below her initial depth of 15 meters), and the change in time is 10.1 seconds.
So, the average rate of change in the diver's depth is:
Average rate of change = Change in depth / Change in time
= 10 meters / 10.1 seconds
To find the rate of change to the nearest hundredth, we can divide 10 meters by 10.1 seconds using a calculator or by performing the division manually.
The quotient is approximately 0.99, so we can say that the rate of change in the diver's depth is approximately 0.99 meters per second (or approximately 0.99 m/s).