Part 1: Coffee Costs
Getting coffee at Starbucks is great but expensive. It costs around $4.50 for a cup of coffee. Instead, you could make Starbucks coffee on your own with a Keurig machine.

Below is the cost for a Keurig machine and the per unit cost for K-cups.

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1) Based on the images, write a rational equation to represent the average total cost for a cup of coffee. Make sure to label your independent and dependent variables.

2) Please answer the following:

A) What is the average total cost of coffee if you drank 4 cups of coffee? Show your work.

B) What is the average total cost of coffee if you drank 10 cups of coffee? Show your work.

3) What is the horizontal asymptote in the problem as well as what does it mean in the context of the question?

4) Graph your equation on Desmos and paste the screenshot here.

Part 2: Graph Analysis
Find out what “k” should be below to get the following graph. Explain your reasoning.

F(x) = (x-2) / (x+k)