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Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon. You need to purchase at least 9 gallons of drinks for a neighborhood picnic, but have at most $55 to spend. Model the scenario with a system of inequalities. Which of the following options represents a possible solution to the system of inequalities?

Respuesta :

calculista

Answer:

The system of inequalities is equal to

[tex]x+y\geq 9[/tex]

[tex]4x+6y\leq 55[/tex]

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of gallons of iced tea

y-----> the number of gallons of lemonade

we know that

[tex]x+y\geq 9[/tex] -----> inequality A

[tex]4x+6y\leq 55[/tex] -----> inequality B

using a graphing tool

the solution is the shaded area

see the graph in the attached figure

Ver imagen calculista
Everythang

The answer is 10,1

The explanation is below. The graph is correct and the point 10,1 is in the shaded area that is covered by both equations.