A couple seeking to buy a home decides that a monthly payment of $1600 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) 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 $173,000, how long must they make payments? Write this correspondence in the form A = f (t).

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t A t A 80,000 20 199,000 10 135,000 25 217,000 15 173,000 30 229,000