HELP a local cafe sells 7,200 cold beverages in the month of july. over the next six months, the number of cold beverages decreases at an average rate of 750 cups per month. During the same time frame, the number of hot beverages sold is represented by the equation y=900x + 3,300 where the number of hot beverages, y, is a function of x, the number of months after july. A. what is the rate of change of cold beverages sold per month? hot beverages?

B. which rate of change is greater? what does it mean?

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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step-by-step explanation: