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
To find the rate of change in the goat's elevation, we need to divide the change in elevation by the time it takes to climb.
The change in elevation is 50 feet.
The time it takes to climb is 22 minutes.
Therefore, the quotient to describe the rate of change in the goat's elevation is 50 feet / 22 minutes = 2.27 feet per 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
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
To find the rate of change in the whale's depth, we need to divide the change in depth by the time it takes to swim.
The change in depth is 15 meters - 0 meters (since the surface is at depth 0) = 15 meters.
Note that the change in depth is positive since the whale is swimming up toward the surface.
The time it takes to swim is 9.5 seconds.
Therefore, the quotient to describe the rate of change in the whale's depth is 15 meters / 9.5 seconds ≈ 1.58 meters per second (rounded 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.)
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.
Therefore, the quotient to describe the decrease in value per month is $2,500 / 6 months ≈ $416.67 per month (rounded to the nearest hundredth).
A restaurant uses a 15-pound bag of flour in 4 days. Each day, the bag of flour gets lighter as more flour is used. How much does the average amount of flour in the bag change each day? (Round to the nearest hundredth.)
To find how much the average amount of flour in the bag changes each day, we need to divide the change in the amount of flour by the number of days.
The change in the amount of flour is 15 pounds - 0 pounds (since the bag starts at full capacity) = 15 pounds.
The number of days is 4.
Therefore, the quotient to describe the change in the average amount of flour per day is 15 pounds / 4 days = 3.75 pounds per day (rounded to the nearest hundredth).
To interpret the quotient and describe the rate of change in the goat's elevation, we need to divide the change in elevation by the time taken.
In this case, the change in elevation is 50 feet (the height of the cliff), and the time taken is 22 minutes.
So, we can calculate the rate of change in elevation as:
Rate of change = Change in elevation / Time taken
Rate of change = 50 feet / 22 minutes
Now, dividing 50 by 22, we get approximately 2.27.
Therefore, we can say that the rate of change in the goat's elevation is approximately 2.27 feet per minute.
To find the rate of change in the bird's altitude, we need to divide the change in altitude by the time it takes to descend.
The change in altitude is 10 meters - 3 meters = 7 meters.
Keep in mind that the bird is descending, so the change in altitude is negative.
The time it takes to descend is 3 seconds.
Therefore, the quotient to describe the rate of change in the bird's altitude is -7 meters / 3 seconds = -2.33 meters per second.