For individual or collaborative investigation
If p units of an item are sold for x dollars per unit, the revenue is px. Use this idea to analyze the following problem, working Exercise 1 in order.
Number of Apartments Rented The manager of an 80-unit apartment complex knows from experience that at a rent of $300, all the units will be full. On the average, one additional unit will remain vacant for each $20 increase in rent over $300. Furthermore, the manager must keep at least 30 units rented due to other financial considerations. Currently, the revenue from the complex is $35,000. How many apartments are rented?
Exercise 1
Use the answers in Exercise 2 and 3 to write an expression that defines the revenue generated when there are x increases of $20 over $300.
Exercise 2
Suppose that x represents the number of $20 increases over $300. Represent the number of apartment units that will be rented in terms of x.
Exercise 3
Represent the rent per unit in terms of x.
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