The drama club is selling tickets to their play to raise money for the show's expenses: Each student ticket sells for $5 and each adult ticket sells for $7.50

The auditorium can hold no more than 75 people.

The drama club must make a minimum of $450 from ticket sales to cover the show's costs.

If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

  see attached

Step-by-step explanation:

The two inequalities you want to plot are ...

  x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people

  5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs

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These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.

The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.

On of the points in the potential solution area is shown in the attached graph:

  (x, y) = (25, 50) . . . . fills the theater, gives $500 revenue

step-by-step explanation:

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb