15 points
for a community breakfast there should be at least
three times as much regular coffee as decaffeinated
coffee. a total of ten gallons is sufficient for the
breakfast. write and graph a system of inequalities
to model the problem.
show your work.

The system of inequalities is x ≥ 3y and x + y ≤ 10

The graph attached down

Step-by-step explanation:

* Lets explain how to write the inequalities for this problem

- Assume that x represents the quantity of regular coffee and

 y represents the quantity of the decaffeinated  coffee

- For a community breakfast there should be at least  three times as

 much regular coffee as decaffeinated  coffee

- At least means greater than or equal

∵ x represents regular coffee

∵ y represents decaffeinated  coffee

∵ x is at least three times as much as y

∴ x ≥ y ⇒ (1)

- A total of ten gallons is sufficient for the  breakfast

- That means the quantities x and y shouldn't be more than 10

- Not more than means smaller than or equal

∵ The total quantity is 10 gallons

∴ x + y ≤ 10 ⇒ (2)

∴ The system of inequalities are

   x ≥ 3y and x + y ≤ 10

* Lets graph (1) and (2)

- The red part for x ≥ 3y

- The blue part for x + y ≤ 10

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step-by-step explanation: