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.
To find the rate of change in the goat's elevation, we divide the change in elevation (50 feet) by the time taken (22 minutes).
Rate of change = Change in elevation / Time taken
Rate of change = 50 feet / 22 minutes
Calculating this value to the nearest hundredth gives:
Rate of change = 2.27 feet/minute.
Therefore, the quotient that best represents the rate of change in the goat's elevation is 2.27 feet/minute.
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 goat's elevation, we need to divide the change in elevation (50 feet) by the time taken (22 minutes).
The quotient (rate) can be calculated as:
50 feet / 22 minutes = 2.27 feet/minute (rounded to the nearest hundredth)
Therefore, the rate of change in the goat's elevation is approximately 2.27 feet/minute.
To find the rate of change in the goat's elevation, we first need to calculate the elevation change in feet per minute.
The cliff is 50 feet higher than the goat's starting point, and it takes the goat 22 minutes to climb the cliff. Therefore, the elevation change is 50 feet over a time period of 22 minutes.
To find the rate of change, we divide the elevation change by the time taken:
Rate of change = elevation change / time taken
Substituting the values:
Rate of change = 50 feet / 22 minutes
Now, divide 50 by 22 to calculate the rate of change in feet per minute:
Rate of change = 2.27 feet/minute
Therefore, the rate of change in the goat's elevation is approximately 2.27 feet/minute (rounded to the nearest hundredth).