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=25x+136
Play B: y=-x^2+44x+76

Answer 1

Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

$25x+136=-x^2+44x+76$

Simplify:

$x^2-19x+60=0$

Factor: Both factors must be positive as the days can only be natural numbers.

$(x-15)(x-4)=0$

x=4,15