Answer: A) When all three ticket prices generate the same revenue.
Step-by-step explanation:
Reserved tickets cost $20 each.
Field-level tickets cost $50 each.
Seat tickets cost $100 each.
Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:
R(x) = x*$20
If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:
F(w) = w*$50
If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:
S(y) = y*$100
Those equations will intersect when:
R(x) = F(w) = S(y)
This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:
A) When all three ticket prices generate the same revenue.
Take -5x + y =13 and rearrange for y:
y=13+5x
Substitute into other equation for y:
-3x+3(13+5x)=3
Multiply out brackets:
-3x+39+15x=3
Simplify:
12x+39=3
Rearrange for x:
12x=-36
x=-3
Substitute back into y=13+5x:
y=13+5(-3)
y=13-15
y=-2
