HOla
A mountain goat is climbing to the top of a large cliff. The cliff is 50 feet higher than its starting point. If it takes the goat 22 minutes to climb this cliff, interpret the quotient to describe the rate of change in the goat’s elevation. Give your answer to the nearest hundredth.(1 point)
The quotient that best represents the rate of change in the goat’s elevation is feet/minute.
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To find the rate of change in the goat's elevation, we need to divide the change in elevation (50 feet) by the time it takes to climb (22 minutes).
Rate of change = Change in elevation / Time taken
Rate of change = 50 feet / 22 minutes
To find the quotient to the nearest hundredth, we need to divide 50 by 22 and round the result to two decimal places.
Rate of change = 2.273 feet/minute (rounded to the nearest hundredth)
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The quotient to represent the rate of change in the goat's elevation is given by:
Rate of change = change in elevation / time taken
Rate of change = 50 feet / 22 minutes
Rate of change = 2.273 feet/minute
Therefore, the quotient that best represents the rate of change in the goat's elevation is approximately 2.27 feet/minute to the nearest hundredth.
A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird’s altitude. Give your answer to the nearest hundredth and remember that the bird is descending.(1 point)
The quotient that best represents the rate of change in the bird’s altitude is meters/second.
To find the rate of change in the bird's altitude, we need to divide the change in altitude (from 10 meters to 3 meters) by the time taken (3 seconds).
Rate of change = Change in altitude / Time taken
Rate of change = (3 meters - 10 meters) / 3 seconds
Rate of change = -7 meters / 3 seconds
To find the quotient to the nearest hundredth, we need to divide -7 by 3 and round the result to two decimal places.
Rate of change = -2.33 meters/second (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the bird's altitude is approximately -2.33 meters/second (since the bird is descending) to the nearest hundredth.
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 whale’s depth. Give your answer to the nearest hundredth.(1 point)
The quotient that best represents the rate of change in the whale’s depth is meters/second.
To find the rate of change in the whale's depth, we need to divide the change in depth (from 15 meters below the surface to the surface) by the time taken (9.5 seconds).
Rate of change = Change in depth / Time taken
Rate of change = (0 meters - (-15 meters)) / 9.5 seconds
Rate of change = (0 meters + 15 meters) / 9.5 seconds
Rate of change = 15 meters / 9.5 seconds
To find the quotient to the nearest hundredth, we need to divide 15 by 9.5 and round the result to two decimal places.
Rate of change = 1.58 meters/second (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the whale's depth is approximately 1.58 meters/second to the nearest hundredth.
Solve using division of rational numbers. If a car’s value decreases by $2,500 in the first 6 months, how much does the value decrease per month? (Round to the nearest hundredth.) (1 point)
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