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A local wedding planner is planning for a wedding. He must provide seating for a minimum of 210 people. He has circular tables and rectangular tables. The circular tables can seat 10 people and the rectangular tables can seat 8 people:

Select the inequality in standard form that describes this situation using the given numbers and the following variables.

x = the number of circular tables
y = the number rectangular tables

Select one:
A. 10y + 8x ≥ 210
B. 10x + 8y ≥ 210
C. 10y + 8x > 210
D. 10x + 8y ≤ 210

B) 10x + 8y ≥ 210

Step-by-step explanation:

We know that we have to sit at least 210 people which means that we can fit more than 210, but no less than 210. This gives us a first step in solving since we know that the equation must be greater than or equal ( ≥) 210

This rules out C & D immediately.

Now we know that circular tables can sit 10 people and are represented by the variable x which means that each circular table will be equal to 10x and that rectangular tables are denoted by y and can sit 8 people making it recognizable by 8y. We know that the people sitting at all of the tables will be added up to give us a number of either 210 or more.

The only answer that gives us the tables and how many people they seat accurately is B since it is 10x and 8y. We also see that these two numbers are added together to make it greater than or equal to 210.