An arrangement for one container needs to have at least 4 flowers in it and the total wholesale cost must be less than $12. at wholesale, lilies cost $2 per flower and roses cost $3 per flower. if x is the number of lilies and y is the number of roses, which graph represents the system of inequalities for this scenario?

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of lilies

y ---> the number of roses

we know that

An arrangement for one container needs to have at least 4 flowers in it

The word " at least" in this context means " greater than or equal to"

so

----> inequality A

The solution of the inequality A is the shaded area above the solid Line A

The equation of the solid line A is  

The y-intercept of the solid Line A is (0,4)

The x-intercept of the solid Line A is (4,0)

The slope of the solid line A is negative

The total wholesale cost must be less than $12

so

----> inequality B

The solution of the inequality B is the shaded area below the dashed Line B

The equation of the dashed line B is  

The y-intercept of the dashed Line B is (0,4)

The x-intercept of the dashed Line B is (6,0)

The slope of the dashed line B is negative

Solve the system of inequalities by graphing

Using a graphing tool

The solution is the triangular shaded area

see  the attached figure

Remember that the variables x and y are whole numbers and cannot be a negative number

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: