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The scuba diver was at a depth 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.
To interpret the quotient as the rate of change in the diver's depth, we can divide the change in depth by the time taken for the descent. The change in depth is 10 meters, and the time taken is 10.1 seconds.
Rate of change in depth = Change in depth / Time taken
Rate of change in depth = 10 meters / 10.1 seconds
Evaluating this expression gives us:
Rate of change in depth = 0.99 meters/second
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
Which quotient is between -4 and -5?
To find a quotient between -4 and -5, we need to find two numbers that have a quotient between these two values.
Let's consider the quotient -4.5. Evaluating this expression:
-4 < -4.5 < -5
Therefore, the quotient -4.5 is between -4 and -5.
4. Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses
$333.33
$333.33
-$333.33
-$333.33
-$0.003
-$0.003
$0.003
$0.003
Question 5
To interpret the quotient to describe the rate of change in the diver's depth, we need to divide the change in depth by the time it took to make the descent.
The change in depth is 10 meters lower and the time taken is 10.1 seconds, so the quotient would be:
Rate of change = Change in depth / Time taken
Rate of change = 10 meters / 10.1 seconds
Calculating this quotient, we get approximately:
Rate of change = 0.99 meters per second
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
To interpret the quotient that describes the rate of change in the diver's depth, we need to determine the change in depth and the time it took.
First, let's calculate the change in depth. The scuba diver descended 10 meters lower, so the change in depth is -10 meters (since it's below the surface).
Next, we'll determine the time it took for the descent. The diver made the descent in 10.1 seconds.
To find the rate of change, we divide the change in depth (-10 meters) by the time (10.1 seconds):
Rate of change = change in depth / time = -10 meters / 10.1 seconds
Now, let's calculate this quotient:
Rate of change = -10 / 10.1 = -0.99
To give the answer to the nearest hundredth, we round the rate of change to two decimal places:
Rate of change ≈ -0.99
Therefore, the quotient describing the rate of change in the diver's depth is approximately -0.99.