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.
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.
The inequality representing how many small tables (x) and large tables (y) Suzie can order is:
8x + 12y ≥ 600
Graph of the inequality:
The boundary line is:
12y = -8x + 600
y = -2/3x + 50
Let's plot some points on the boundary line:
For x = 0, y = 50
For x = 50, y = 0
Now, let's plot the boundary line and shade the region below it to represent the feasible region for Suzie to order tables.