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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 divide the change in elevation (50 feet) by the time taken (22 minutes):
Rate of change = Change in elevation / Time taken
Rate of change = 50 feet / 22 minutes
Calculating this gives:
Rate of change ≈ 2.27 feet/minute
So, the quotient that best represents the rate of change in the goat's elevation is 2.27 feet/minute (rounded to the nearest hundredth).
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 calculate the change in altitude (from 10 meters to 3 meters) and divide it by the time taken (3 seconds). Since the bird is descending, the change in altitude will be negative.
Rate of change = Change in altitude / Time taken
Rate of change = (3 meters - 10 meters) / 3 seconds
Rate of change = -7 meters / 3 seconds
Calculating this gives:
Rate of change ≈ -2.33 meters/second
Therefore, the quotient that best represents the rate of change in the bird's altitude is -2.33 meters/second (rounded to the nearest hundredth).
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 calculate the change in depth (from 15 meters below the surface to the surface, which is 0 meters) and divide it by the time taken (9.5 seconds). Since the whale is swimming up towards the surface, the change in depth will be positive.
Rate of change = Change in depth / Time taken
Rate of change = (0 meters - (-15 meters)) / 9.5 seconds
Rate of change = 15 meters / 9.5 seconds
Calculating this gives:
Rate of change ≈ 1.58 meters/second
Therefore, the quotient that best represents the rate of change in the whale's depth is 1.58 meters/second (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 the bag changes each day, we divide the total change in weight (15 pounds) by the number of days (4 days).
Average change per day = Change in weight / Number of days
Average change per day = 15 pounds / 4 days
Calculating this gives:
Average change per day ≈ 3.75 pounds/day
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day (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)
pounds