Sent opening night attendance play a has increased steadily while attendance at play B Rose and then fell equations modeling the daily attendance why at each play are shown below where X is the number of days since opening night on what days was attendance the same at both place what was the attendance play a equals y = 15x + 76 play b y = -x + 36x - 4
To find out on what days the attendance was the same at both plays, we need to set the equations equal to each other and solve for x:
15x + 76 = -x + 36x - 4
Combine like terms:
15x + 76 = 35x - 4
Add x to both sides:
16x + 76 = 35x - 4
Subtract 16x from both sides:
76 = 19x - 4
Add 4 to both sides:
80 = 19x
Divide by 19 on both sides:
x = 80/19
x = 4.21
Since we can't have a fraction of a day, we need to round up to the nearest whole number. Therefore, attendance at both plays was the same on the 5th day.
To find the attendance at Play A on the 5th day:
y = 15(5) + 76
y = 75 + 76
y = 151
Attendance at Play A on the 5th day was 151.