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7b) A moving company charges \( \$ 800 \) plus \( \$ 16 \) per hour. Another moving company charges \( \$ 720 \) plus \( \$ 21 \) per hov How long is a job that costs the same no matter which ompany is used?

Ask by Deleon Carroll. in the United States
Jan 24,2025

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A 16-hour job costs the same with both moving companies.

Solución

To determine the number of hours \( h \) where both moving companies charge the same amount, set their cost equations equal to each other and solve for \( h \). **Company A:** \[ \text{Cost}_A = 800 + 16h \] **Company B:** \[ \text{Cost}_B = 720 + 21h \] Set the costs equal: \[ 800 + 16h = 720 + 21h \] Subtract \( 720 \) from both sides: \[ 80 + 16h = 21h \] Subtract \( 16h \) from both sides: \[ 80 = 5h \] Divide both sides by \( 5 \): \[ h = 16 \] **Answer:** A 16-hour job will cost the same with either company.

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To find out how long a job would cost the same for both moving companies, we can set up an equation. Let \( h \) represent the number of hours worked. The cost for Company A can be expressed as \( 800 + 16h \), while the cost for Company B is \( 720 + 21h \). Setting these two expressions equal gives us: \[ 800 + 16h = 720 + 21h \] Now, we can solve for \( h \): \[ 800 - 720 = 21h - 16h \] \[ 80 = 5h \] \[ h = 16 \] So, the job would take 16 hours for both companies to charge the same amount. Curious about moving companies? The moving industry has evolved drastically over the decades, starting from horse-drawn wagons to modern trucks equipped with GPS and climate control. Today’s moving companies not only transport belongings but often provide additional services like packing, storage, and even cleaning! If you're planning a move, be sure to always compare quotes from different companies. Some may have hidden fees or additional charges based on distance or time. It’s also wise to read reviews about customer experiences to avoid common pitfalls like damaged items or delays. Make that moving day smooth and stress-free!

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