$\"\"$

\

The engraver charges for set - up fee 3 dollars.

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The charge for one word is 0.25 dollars.

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The total price p for one word is $\"\"$ dollars.

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The total price (p) for w words is $\"\"$ dollars.

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To check the solution table substitute the values of p and w from the table in the equation $\"\"$ . $\"\"$

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First check F option table.

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Substitute values of $\"\"$ in the equation $\"\"$ .

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$\"\"$

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$\"\"$

\

$\"\"$

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This is false. So, F option table is not correct answer. $\"\"$

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Next check H option table.

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Substitute values of $\"\"$ in the equation $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

This is false. So, H option table is not correct answer. $\"\"$

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Next check G option table.

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Substitute first values of $\"\"$ in the equation $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute second values of $\"\"$ in the equation $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

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This is false. So, G option table is not correct answer. $\"\"$

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Next check J option table.

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Substitute values of p and w in the equation $\"\"$ .

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IF $\"\"$ then $\"\"$ (This is true). \ \ IF $\"\"$ then $\"\"$ (This is true).

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IF $\"\"$ then $\"\"$ (This is true).

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IF $\"\"$ then $\"\"$ (This is true).

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Therefore the equation is true for all values of table . So, J option table is correct answer. $\"\"$

\

The option J is correct answer.