A Hotel Finds That If It Spends No Money on Renovations

Multiple Choice

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?

A) $87500
B) $1400000
C) $76300
D) $35700
E) $56000