Answer:
Rosalle must charge $6.5961.
Explanation:
The information for the question is given as such
Cost of $5= 1065 people
Cost of $7= 805
Therefore, the points for x and y in an equation are already known
Step 1: Let x become the cost per ticket and y be the number of people
= y2-y1/x2-x1= 805-1065/7.5
= 260/2
The Slope called M= - 130
Step 2: Now use the equation y-y1= m(x-x1)
= y-1065= -130 (x-5)
= y-1065= -130x + 650
y= -130x + 1065+650
= -130x+ 1,715 = This is the linear function for y
Step 3: Now determine the total money Rosalle can earn as follows
f(x)=xy
= x(-130x + 1715)
= -130x∧w +1715x
= We can then solve for y in a quadratic equation
y= ax∧2 + bx + c
where x = -b/2a
a = 130, b= -1715 and c=0
Therefore: x = - (-1715)/2(130)= 1715/260
= 6.5961
Therefore, in order to make the most money, Rosalle must charge $6.5961.
