Suppose w(t) is the weight (in pounds) of a golden retriever p...

Question

Suppose w(t) is the weight (in pounds) of a golden retriever puppy t weeks after it is born. Interpret the meaning of w'(15) = 1.75.

Accepted Answer

Welcome back, everyone. Let H of T be the height in centimeters of a sunflower T days after it is planted. What is the meaning of 20 equals 2.5? A says it means the sunflower is 2.5 centimeters tall, 20 days after it is planted. B says the sunflower's height is increasing by 2.5 centimeters per day, 20 days after it is planted. C says the sunflower's height is decreasing by 2.5 centimeters per day, 20 days after it is planted, and the D says the sunflower's height is 20 centimeters, 2.5 days after it is planted. Now to understand what this means, let's think about the information we have. First, we know that H of T is the height of the sunflower in centimeters after T days, OK? So it's the height in terms, the height as a function of its time. So that means H, OK. H T, the derivative of H of T with respect to time represents the rate of change, OK, represents the rate of change. Of the height of the sunflower. Of the height of the sunflower. With respect. To the time T, OK, because the height is a function of our time. So that means that each of 20. Being equal to 2.5 means that 20 days after the sunflower is planted, the time. The height of the sunflower is increasing because this is a positive quantity at a rate of 2.5 centimeters per day, OK? So this is 2.5 centimeters per day. After 20 days. Therefore, that means B is the correct answer. Thanks a lot for watching everyone. I hope this video helped.

Suppose w(t) is the weight (in pounds) of a golden retriever puppy t weeks after it is born. Interpret the meaning of w'(15) = 1.75.

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