Question 1205255
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It is certainly true that both the presentation of the problem and the question you ask need a lot of improvement....<br>
However, it is clear what the intent of the problem is, so I will move on with it.<br>
The problem is about renting tables, so the equation is obviously a cost equation, showing that the cost of the small tables plus the cost of the large tables is the total cost.<br>
The equation is 4x+6y=180; and we are told that x is the number of small tables and y is the number of large tables.  That clearly means that 4x is the total cost of the small tables, which means the cost to rent each small table is $4; and similarly $6 is the cost to rent each large table.<br>
Now to the question that is asked: "Interpret the terms and coefficients in the equation."<br>
The terms in an equation are the things that are added together, or that stand by themselves.  The terms in this equation are 4x, 6y, and 180.  Those terms are, as described above, the cost of the small tables, the cost of the large tables, and the total cost.<br>
The coefficients in an equation are the numerical parts of the terms that contain variables.  4x is a term; the coefficient there is "4"; 6y is a term; the coefficient there is "6".  As described earlier, the interpretation of those coefficients is that they are the cost for renting each small table and each large table.<br>