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A Hotel Finds That If It Spends No Money on Renovations

question 102

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A hotel finds that if it spends no money on renovations they will be able to rent 145 rooms per night. However they have found that for every $3500 spent on renovations they will be able to rent an additional 25 rooms per night. Let x represent the amount of money spent on renovations and y represent the number of rooms rented. How much money will need to be spent on renovations in order to rent 400 rooms per night?


Definitions:

Torque

The rotational or twisting force applied to an object; crucial in determining an engine's power.

Inertia

A physical principle stating that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.

Momentum

The quantity of motion of a moving body, measured as a product of its mass and velocity.

Horsepower

A rating of the amount of work performed by an engine. Originally based on the amount of weight a horse could move in one minute. One HP is equal to about 746 watts.

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