Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance? Play A, y= 9x+64
Play B, y= -x^2+26x+12

Play A: y=15x+76

Play B: y=-x^2 +36x-4

set them equal:

15x+76=-x^2 +36x-4

80=-x^2+21x

x^2-21x+80=0

-> solve for x

for example with the quadratic equation formula or solving the square

factorized:

(x-16)(x-5)=0

so x1=5 and x2=16

insert them into y=15x+76

y1=151, y2=316

so (5,151) and (16,316) are days with equal attendance for both plays which is option C

Step-by-step explanation:

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step-by-step explanation: