Answer:
Step-by-step explanation:
Lets denote number of floor tickets by x and
Lets denote number of balcony tickets by y as shown in the figure in the question
so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be
a)
b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation
15x + 12y = 3000 which is the boundary line. So here goes,
so our y-intercept is 250 which means Point A is (0 , 250)
c) They should shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.
I have attached a graph to clearly visualize the solution as well.
