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Mortgage
A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank's interest rate is 7.5%. The amount they can borrow, A, is a function of the time t, in years, it will take to repay the debt. If we denote this function by A = ƒ(t), then the following table defines the function.
t
A
5
40,000
20
103,000
10
69,000
25
113,000
15
89,000
30
120,000
(a) Find ƒ (20) and write a sentence that explains its meaning.
(b) Does ƒ(5 + 5) = ƒ(5) + ƒ(5) ? Explain.
(c) If the couple is looking at a house that requires them to finance $89,000, how long must they make payments? Write this correspondence in the form A = ƒ(t)
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