The manager of a 100-unit apartment complex knows from experience that at a rent of $1500 per month, all units will be rented. However, for each increase of $25 in rent, he can expect one unit to be vacated. Let x represent the number of $25 increases over $1500. Complete parts (a) through (e) below. (a) Express, in terms of x, the number of apartments that will be rented if x increases of $25 are made. (For example, with three such increases, the number of apartments rented will be 100-3=97.) The number of apartments that will be rented if x increases of $25 are made is

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