A construction company charges $$ \$ 18 $$ per hour for debris emoval, plus a one-time fee for the use of the trash tumpster. The total fee for 8 hours of service was $$ \$ 219 $$ Write and solve a linear equation to find the one-time fee for the trash dumpster.

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The one-time fee for the trash dumpster is $$ \$ 75 $$. Let $$ x $$ be the one-time fee for the use of the trash dumpster. The construction company charges $$ \$ 18 $$ per hour for debris removal. For 8 hours of service, the cost for labor would be: $$ 18 \text{ dollars/hour} \times 8 \text{ hours} = 144 \text{ dollars} $$ The total fee for the service, which includes both the labor cost and the one-time fee for the dumpster, is given as $$ \$ 219 $$. We can set up the following equation: $$ 144 + x = 219 $$ To find $$ x $$, we can subtract $$ 144 $$ from both sides of the equation: $$ x = 219 - 144 $$ Calculating the right side: $$ x = 75 $$ Thus, the one-time fee for the trash dumpster is $$ \boxed{75} $$ dollars.

A construction company charges \( \$ 18 \) per hour for debris emoval, plus a one-time fee for the use of the trash tumpster. The total fee for 8 hours of service was \( \$ 219 \) Write and solve a linear equation to find the one-time fee for the trash dumpster.

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A construction company charges \( \$ 18 \) per hour for debris emoval, plus a one-time fee for the use of the trash tumpster. The total fee for 8 hours of service was \( \$ 219 \) Write and solve a linear equation to find the one-time fee for the trash dumpster.

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