A fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x^2 + 3x. A beam of light modeled by the equation -2x + 5.5y = 19.5 passes through the fountain to create a rainbow effect. If the beam cuts the water spray at points A and B, such that point B is at a higher level than point A, what distance from the ground level is point A?

Possible answers:
A: 1.66 units
B: 4.15 units
C: 5.44 units
D: 6.14 units
E: 7.13 units

Question

A fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x^2 + 3x. A beam of light modeled by the equation -2x + 5.5y = 19.5 passes through the fountain to create a rainbow effect. If the beam cuts the water spray at points A and B, such that point B is at a higher level than point A, what distance from the ground level is point A?

Possible answers: 
A: 1.66 units
B: 4.15 units
C: 5.44 units
D: 6.14 units
E: 7.13 units