Tickets to a concert cost $70, or $20 with a student discount. ticket sales must exceed $500,000 for the group to perform. if 20,000 seats are available, how many of each type must be sold? write a system of inequalities to represent this scenario.   label the variables. do not solve.

A system of inequalities to represent this scenario :

Step-by-step explanation:

Let x be the no. of normal ticket sold

Let y be the no. of tickets sold with student discount

We are given that 20,000 seats are available

So,

Cost of normal ticket = $70

Cost of x normal tickets = 70x

Cost of student discount ticket = $20

Cost of y normal tickets = 20y

We are given that  Ticket sales must exceed $500,000

So,

A system of inequalities to represent this scenario :

dont trust me im no expert these losers made me fail a test bro this sucks

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.