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)
To find the quotient that best describes the rate of change in the whale's depth, we need to find the change in depth divided by the change in time.
The change in depth is 15 meters (the current depth) minus 0 meters (the depth at the surface), which is 15 meters.
The change in time is 9.5 seconds.
Now we can calculate the quotient:
Quotient = Change in Depth / Change in Time
= 15 meters / 9.5 seconds
Dividing 15 by 9.5, we get:
Quotient ≈ 1.58
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58, rounded to the nearest hundredth.
+1 point
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.
The decrease in value is $2,500.
The number of months is 6.
Now we can calculate the decrease per month:
Decrease per month = Decrease in value / Number of months
= $2,500 / 6
Dividing $2,500 by 6, we get:
Decrease per month ≈ $416.67
Therefore, the value of the car decreases by approximately $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.)(1 point)
To find the average amount of flour in the bag that changes each day, we need to divide the total change in the amount of flour by the number of days.
Given that a 15-pound bag of flour is used in 4 days, we need to find the change in pounds of flour per day.
The total change is from 15 pounds (starting amount) to 0 pounds (ending amount), which is a change of 15 pounds.
The number of days is 4.
Now we can calculate the average change per day:
Average change per day = Total change / Number of days
= 15 pounds / 4
Dividing 15 by 4, we get:
Average change per day ≈ 3.75 pounds
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day, rounded to the nearest hundredth.