24. Apartment Lease Whenever you sign a lease for an apartment, you
typically have to pay a security deposit in case you have caused any
wear or tear on the apartment that has to be repaired before it can be
re-leased. If no repairs need to be made, you get your entire deposit
back. One apartment building has apartments that rent for $500 a
month and a security deposit of $700. The total cost C (in dollars
it costs to rent the apartment for m months is given by the function
C= 500m + 700. Graph the function and identify its domain
and range. Identify the domain and range if a renter only leases
an apartment for one year and then moves out and doesn't get the
security deposit back. How does this change the appearance of
the graph? Explain.
Cost (dollars)
Apartment Lease
C
7000
6000
5000
4000
3000
2000
1000
0
0 2 4 6 8 10 12 m
Months