A couple seeking to buy a home decides that a monthly payment of $800 fits their budget.

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A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. 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 = f (t), then the following table defines the function.

A A 103,000 113,000 20 40,000 69,000 89,000 25 10 15 120,000 the

(a) Find f(20) and write a sentence that explains its meaning.
(b) Does f (5 + 5) = f(5) + f(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 = f (t).

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