Question

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?

Answer 1

as a reminder, x = # of lillies and y = # of flowers

"at least 4 flowers" ---> x + y is greater than or equal to 4
"lillies cost $2 per flower and roses cost $3 per flower" ---> the cost of x lillies is 2x, the cost of y roses is 3y, and their sum must be less than or equal to 12

graph the inequalities, with the appropriate shading, and see which graph matches