It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses
0.4 ounces
0.4 ounces
4 ounces
4 ounces
−0.4 ounces
negative 0.4 ounces
−4 ounces
0.4 ounces
It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses
0.4 ounces
0.4 ounces
4 ounces
4 ounces
−0.4 ounces
- 0.4 ounces
−4 ounces
- 0.4 ounces
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.(1 point)
The quotient that best represents the rate of change in the goat’s elevation is
feet/minute.
To find the rate of change in the goat's elevation, we need to divide the change in elevation (50 feet) by the time it took to climb the cliff (22 minutes):
Rate of change = Change in elevation / Time
Rate of change = 50 feet / 22 minutes
Calculating this, we get:
Rate of change ≈ 2.27 feet/minute (rounded to the nearest hundredth)
So, the quotient that best represents the rate of change in the goat's elevation is 2.27 feet/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.(1 point)
The quotient that best represents the rate of change in the bird’s altitude is
meters/second.
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:
Change in altitude = Initial altitude - Final altitude = 10 meters - 3 meters = 7 meters
Time = 3 seconds
Rate of change = Change in altitude / Time
Rate of change = 7 meters / 3 seconds
Calculating this, we get:
Rate of change ≈ 2.33 meters/second (rounded to the nearest hundredth)
So, the quotient that best 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 rate of change in the whale's depth, we need to calculate the change in depth and divide it by the time it took:
Change in depth = Final depth - Initial depth = 0 meters - (-15 meters) = 15 meters
Time = 9.5 seconds
Rate of change = Change in depth / Time
Rate of change = 15 meters / 9.5 seconds
Calculating this, we get:
Rate of change ≈ 1.58 meters/second (rounded to the nearest hundredth)
So, 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 how much the car's value decreases per month, we divide the total decrease in value by the number of months:
Total decrease in value = -$2,500 (since the value is decreasing)
Number of months = 6 months
Value decrease per month = Total decrease in value / Number of months
Value decrease per month = -$2,500 / 6
Calculating this, we get:
Value decrease per month ≈ -$416.67 (rounded to the nearest hundredth)
So, the value of the car 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)
pounds
To find the average amount of flour the bag changes each day, we divide the total change in weight by the number of days:
Total change in weight = 15 pounds - 0 pounds (since the bag starts with 15 pounds and ends with 0 pounds)
Number of days = 4 days
Average change in weight per day = Total change in weight / Number of days
Average change in weight per day = 15 pounds / 4 days
Calculating this, we get:
Average change in weight per day ≈ 3.75 pounds (rounded to the nearest hundredth)
So, the average amount of flour in the bag changes by approximately 3.75 pounds each day.