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 2 point 3 3
2 point 3 3 - incorrect meters/second.
The correct quotient that represents the rate of change in the bird's altitude is -2.33 meters/second.
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 quotient that describes the rate of change in the whale's depth, we can calculate the change in depth over the time taken.
Initial depth = 15 meters below the surface
Final depth = 0 meters (surface)
Time taken = 9.5 seconds
Change in depth = Final depth - Initial depth = 0 - (-15) = 15 meters
Rate of change in depth = Change in depth / Time taken = 15 / 9.5 = 1.58 meters/second
Therefore, the quotient that best represents the rate of change in the whale's depth is 1.58 meters/second.
Solve using division of rational numbers. If a car’s value decreases by $2,500 in the first 6 months, how much does the value decrease per month? (Round to the nearest hundredth.) (1 point)
-$
To find the value decrease per month, we need to divide the decrease in value by the number of months.
Decrease in value: -$2,500
Number of months: 6
Value decrease per month = Decrease in value / Number of months = -$2,500 / 6
Dividing -$2,500 by 6 gives us approximately -$416.67.
Therefore, the value decreases by approximately -$416.67 per month.
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.)(1 point)
To find the average amount of flour that the bag changes each day, we need to divide the total change in flour by the number of days.
Total change in flour: 15 pounds
Number of days: 4
Average amount of flour change each day = Total change in flour / Number of days = 15 pounds / 4
Dividing 15 pounds by 4 gives us approximately 3.75 pounds per day.
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day.
wrong
Apologies for the confusion. To find the average amount of flour that the bag changes each day, we need to divide the total change in flour by the number of days.
Total change in flour: 15 pounds
Number of days: 4
Average amount of flour change each day = Total change in flour / Number of days = 15 pounds / 4 days
Dividing 15 pounds by 4 days gives us approximately 3.75 pounds per day.
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day.
To interpret the given quotient and describe the rate of change in the bird's altitude, we need to calculate the rate at which the bird descended.
The bird was initially flying at an altitude of 10 meters and settled on a branch that is 3 meters above the ground after 3 seconds. Therefore, the change in altitude is 10 - 3 = 7 meters.
To find the rate of change, we divide the change in altitude by the time taken: 7 meters / 3 seconds = 2.33 meters/second.
Now, let's interpret the quotient: 2.33 meters/second. The positive value indicates that the bird is descending, as mentioned in the question. The value of 2.33 indicates that, on average, the bird is descending at a rate of 2.33 meters per second.
Therefore, the correct interpretation of the quotient to describe the rate of change in the bird's altitude is 2.33 meters/second.