Suzie, the events manager at a catering company, is ordering new tables to use for large parties. She can order small tables that seat 8 guests or large tables that seat 12 guests, and she wants to have enough tables to seat at least 600 guests.
Graph the inequality that represents how many small tables, x, and large tables, y, Suzie can order.
The inequality can be represented as:
8x + 12y ≥ 600
This shows that the total number of seats provided by the small tables (8x) and the large tables (12y) must be greater than or equal to 600.
To graph this inequality, plot the x and y intercepts.
When x = 0, 12y ≥ 600, y ≥ 50. So the y-intercept is at (0, 50).
When y = 0, 8x ≥ 600, x ≥ 75. So the x-intercept is at (75, 0).
Connect the intercepts with a straight line. Since we need at least 600 seats, the feasible region is above the line.