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 find the change in depth and divide it by the change in time.
The initial depth of the whale is 15 meters below the surface, and it swims up to the surface which is at a depth of 0 meters.
The change in depth is 15 - 0 = 15 meters.
The change in time is 9.5 seconds.
The rate of change in the whale's depth is 15 meters / 9.5 seconds = 1.58 meters/second.
Rounded to the nearest hundredth, the quotient that best describes the rate of change in the whale's depth is 1.58. Answer: \boxed{1.58}.
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 given as $2,500.
The number of months is 6.
The decrease per month is $2,500 / 6 months = $416.67.
Rounded to the nearest hundredth, the amount that the car's value decreases per month is $416.67. Answer: \boxed{416.67}.
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 given as 15 pounds (the weight of the bag of flour).
The number of days is 4.
The change in the average amount of flour per day is 15 pounds / 4 days = 3.75 pounds.
Rounded to the nearest hundredth, the average amount of flour in the bag changes each day by 3.75 pounds. Answer: \boxed{3.75} pounds.
Negative 3.75
To find the quotient that best describes the rate of change in the whale's depth, we need to determine the average rate of change in its depth over the given period of time.
Average rate of change can be calculated by dividing the change in depth by the change in time.
Given:
Initial depth = 15 meters below the surface
Time taken to reach the surface = 9.5 seconds
To find the change in depth, we can subtract the initial depth from the final depth. Since the final depth is the surface (0 meters), the change in depth will be 0 - (-15), which simplifies to 15 meters.
The change in time is given as 9.5 seconds.
Now, we can calculate the average rate of change by dividing the change in depth by the change in time:
Average rate of change = Change in depth / Change in time
= 15 meters / 9.5 seconds
Dividing 15 by 9.5, we get approximately 1.58.
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters per second (rounded to the nearest hundredth).