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.
The quotient can be interpreted as the rate of change in the goat's elevation per minute. To find this, we divide the change in elevation (50 feet) by the time it took (22 minutes):
50 feet / 22 minutes ≈ 2.27 feet per minute.
So, the rate of change in the goat's elevation is approximately 2.27 feet per minute.
It’s right -2.33
To find the rate of change in the whale's depth, we need to calculate the change in depth and then divide it by the time it took.
The change in depth is the final depth minus the initial depth: 0 meters - (-15 meters) = 15 meters.
The time it took is given as 9.5 seconds.
Now, we can find the rate of change in the whale's depth by dividing the change in depth by the time it took:
15 meters / 9.5 seconds ≈ 1.58 meters per second.
Therefore, the quotient that best represents the rate of change in the whale's depth is approximately 1.58 meters per second.
To find how much the car's value decreases per month, we need to divide the decrease in value by the number of months.
The decrease in value is $2,500.
The number of months is 6.
We can find the decrease per month by dividing the decrease in value by the number of months:
$2,500 / 6 = $416.67.
Therefore, the car's value decreases approximately $416.67 per month.
It’s negative but your right thank you 👍🏼
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.
To find the rate of change in the bird's altitude, we need to calculate the change in altitude and divide it by the time it took.
The change in altitude is the initial altitude minus the final altitude: 10 meters - 3 meters = 7 meters.
The time it took is given as 3 seconds.
Now, we can find the rate of change in the bird's altitude by dividing the change in altitude by the time it took:
7 meters / 3 seconds ≈ 2.33 meters per second.
Therefore, the rate of change in the bird's altitude is approximately 2.33 meters per second, descending.
wrong
Apologies for the mistake. Since the bird is descending, the change in altitude would actually be negative. Let's recalculate.
The change in altitude is the final altitude minus the initial altitude: 3 meters - 10 meters = -7 meters.
Now, we'll divide the change in altitude by the time it took (3 seconds):
-7 meters / 3 seconds ≈ -2.33 meters per second.
Therefore, the rate of change in the bird's altitude is approximately -2.33 meters per second, descending.