Question

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 = 8x + 191
Play B: y = -x^2 + 26x + 126

Answer 1

On 5th day and 13th day Attendance was equal for both plays and it was

231 for each .

Step-by-step explanation:

In order to find same attendance ,we need plug both equation equal

-x^2+26x+126 = 8x+191

-x^2+26x-8x+126-191 = 0

-x^2 +18x-65 =0

multiplying both sides by -1 ,we get

x^2 -18x+ 65 =0

(x-5) (x-13) =0

x =5 and x =13

On 5th day and 13th day attendance was same.

And attendance can be obtained by plugging x =5 in either of equation

y = 8(5)+191

= 40 +191

= 231