The whale is swimming at the current depth of 15 meters below the surface, it swims up towards the surface and arrives there 9.5 seconds later. Find the quotient that best describes the rate of change in the whales depth. Give your answer to the nearest hundredth.
The quotient that best represents the rate of change in the whales depth is meters/seconds
The rate of change in the whale's depth can be found by dividing the change in depth by the time it takes for that change to occur. Let's consider the change in depth first:
Change in depth = 0 meters (surface) - (-15 meters) = 0 - (-15) = 15 meters
The time it takes for this change to occur is given as 9.5 seconds.
Rate of change in depth = Change in depth / Time = 15 meters / 9.5 seconds
To find the quotient to the nearest hundredth, we can divide 15 by 9.5:
Rate of change in depth ≈ 15 / 9.5 ≈ 1.58 meters/second
Therefore, the quotient that best represents the rate of change in the whale's depth is 1.58 meters/second.
To find the rate of change in the whale's depth, we need to determine how much it has changed in 9.5 seconds.
Given that the whale was initially swimming 15 meters below the surface and arrived at the surface after 9.5 seconds, we can calculate the change in depth by subtracting the initial depth from the final depth.
Final Depth = 0 meters (surface)
Initial Depth = -15 meters
Change in Depth = Final Depth - Initial Depth
= 0 meters - (-15 meters)
= 15 meters
To calculate the rate of change, we divide the change in depth by the time taken:
Rate of Change = Change in Depth / Time Taken
= 15 meters / 9.5 seconds
≈ 1.58 meters/second
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters/second.
To find the rate of change in the whale's depth, we need to calculate the difference in depth over the given time interval.
Given:
Initial depth: 15 meters below the surface
Final depth: Surface (0 meters)
Time: 9.5 seconds
To find the rate of change, we can use the formula:
Rate of change = Change in depth / Time
Change in depth = Final depth - Initial depth
= 0 meters - (-15 meters)
= 15 meters
Rate of change = 15 meters / 9.5 seconds
Dividing 15 meters by 9.5 seconds, we find:
Rate of change = 1.58 meters/second
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters/second.