9514 1404 393
Answer:
A = -68.75p +2906.25
Step-by-step explanation:
We can solve for m and b using the given values of A and p.
1600 = m·19 +b
2150 = m·11 +b
Subtracting the second equation from the first, we have ...
-550 = 8m
m = -550/8 = -68.75
Substituting this into the first equation gives ...
1600 = 19·(-68.75) +b
b = 1600 +1306.25 = 2906.25
The desired linear equation is ...
A = -68.75p +2906.25
__
<em>Additional comment</em>
Revenue will be maximized at the price that cuts attendance to half the value when the price is 0, about $21.14.
