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= -x^2 + 60x -10

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=16x+150 

PLAY B: y= -x^2 + 60x -10

agent0smith · Answer

Set them equal to each other, then solve for x.

anonymous · Answer

@agent0smith so i just remove the y and put both equations side by side with an equal sign in the middle?

agent0smith · Answer

Yes

anonymous · Answer

@agent0smith ok one sec. :)

anonymous · Answer

@agent0smith okay well i got x=4,40?

anonymous · Answer

@agent0smith so on what day(s) was the attendance the same at both plays? and What was the attendance? idk how to put what i got for x in there lol

agent0smith · Answer

so on what day(s) was the attendance the same at both plays?
you already found that answer

What was the attendance? 
Plug in x and find out

anonymous · Answer

@agent0smith so on days 4 and 40, right?

agent0smith · Answer

Right

anonymous · Answer

@agent0smith okay thank you so much!

agent0smith · Answer

No prob.