A whale is swimming at a current depth of 15 meters below the surface.it swims up toward 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 hundreath.
To find the rate of change in the whale's depth, we need to determine how much the whale's depth changes over a given unit of time.
The initial depth of the whale is 15 meters below the surface. After 9.5 seconds, the whale reaches the surface, which is at a depth of 0 meters.
To find the change in depth, we subtract the initial depth from the final depth:
0 meters - (-15 meters) = 15 meters
The change in depth is 15 meters.
To find the rate of change, we divide the change in depth by the amount of time it took:
15 meters / 9.5 seconds ≈ 1.58 meters per second
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters per second.
To find the rate of change in the whale's depth, we need to determine how much the depth changes over time. We are given that the whale starts at a depth of 15 meters below the surface and arrives at the surface 9.5 seconds later.
The rate of change, or the average speed, can be calculated by dividing the change in depth by the time it takes:
Change in depth = Final depth - Initial depth
= 0 meters - (-15 meters)
= 15 meters
Rate of change = Change in depth / Time
= 15 meters / 9.5 seconds
To find the quotient that best describes the rate of change, we divide 15 meters by 9.5 seconds. Rounding to the nearest hundredth, the rate of change in the whale's depth is approximately 1.58 meters per second.
To find the rate of change in the whale's depth, we need to calculate the difference in depth (meters) and divide it by the time taken (seconds).
Given:
Initial depth (d1) = 15 meters
Final depth (d2) = 0 meters
Time taken (t) = 9.5 seconds
The difference in depth is: d2 - d1 = 0 - 15 = -15 meters (negative because the whale is swimming up).
Now, we can calculate the rate of change using the formula:
Rate of change = Difference in depth / Time taken
Rate of change = -15 meters / 9.5 seconds
Calculating this expression gives us approximately -1.579 meters per second.
Therefore, the rate of change in the whale's depth, to the nearest hundredth, is -1.58 meters per second.