A landscaper has enough concrete paving stones to create a patio with an area of at most 250 square feet. The landscaper wants the length of the patio to be six feet longer than three times the width.
Select the statement that accurately describes the situation and justifies a possible width of the patio.
A.
A possible width is 10 feet because w = 10 satisfies 3w2 + 6 ≥ 250.
B.
A possible width is 11 feet because w = 11 satisfies 3w2 + 6w ≥ 250.
C.
A possible width is 8 feet because w = 8 satisfies 3w2 + 6w ≤ 250.
D.
A possible width is 9 feet because w = 9 satisfies 3w2 + 6 ≤ 250.