Please help...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 = 16x + 150 Play B: y = –x2 + 60x – 10

Question

The attendance was the same on day 40. The attendance was 790 at both plays that day.
The attendance was the same on day 4. The attendance was 214 at both plays that day.
The attendance was the same on days 4 and 40. The attendance at both plays on those days was 214 and 790 respectively.
The attendance was never the same at both plays.

Answer 1

set the 2 equations equal to each other ...

16x + 150 = -x^2 + 60x - 10
x^2 - 44x + 160 = 0
(x-40)(x-4) = 0

x = 40 or x = 4

when x = 40, y = 16(40) + 150 = 790
when x = 4 , y = 16(4) + 150 = 214

Pick out the choice that matches my solution

Answer 2

Thank you