Respuesta :
Answer: a. The rate of change of cold beverages: -750 cups/month
The rate of change of hot beverages: 900 cups/month
b. The rate of change of hot beverages is greater (900 > -750). It means that the number of hot beverages sold increases at a rate of 900 cups every month.
Step-by-step explanation:
a. The question says that "the number of cold beverages decreases at an average rate of 750 cups per month". This indicates that the rate of change of cold beverages is -750 cups/month. Why negative? Remember that it decreases, not increases.
Then let's look at the equation given for the sale of hot beverages:
y=900x + 3,300
The slope of the equation is 900, which is also the rate of change. So the rate of change of hot beverages is 900
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