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 A 5 80,000 20 199,000 10 135,000 25 217,000 15 173,000 30 229,000 (a) Find f(20). (20) = Write a sentence that explains its meaning. O The couple can reduce their payments by $20 if they reduce the amount they borrow by this much. • It will take 20 years to pay off a debt of this amount. O The couple must repay this much per year for every $20 borrowed. O It will take this number of years to pay off a debt of 20 thousand dollars. (b) Does f(5 + 5) = f(5) + f(5)? Explain. O Yes, because f(5 + 5) - f(10) and f(5) + f(S) - f(10). O Yes, because (5 + 5) = f(25) and (5) + (5) = (25). O No, because f(5 + 5) = f(10) which is not equal to f(5) + (5). O No, because (5) + (5) = (25) which is not equal to f(5 + 5). (c) If the couple is looking at a house that requires them to finance $229,000, how long must they make payments? Write this correspondence in the form A = f(t), where t is measured in years. $229,000 = (

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 A 5 80,000 20 199,000 10 135,000 25 217,000 15 173,000 30 229,000 (a) Find f(20). (20) = Write a sentence that explains its meaning. O The couple can reduce their payments by $20 if they reduce the amount they borrow by this much. • It will take 20 years to pay off a debt of this amount. O The couple must repay this much per year for every $20 borrowed. O It will take this number of years to pay off a debt of 20 thousand dollars. (b) Does f(5 + 5) = f(5) + f(5)? Explain. O Yes, because f(5 + 5) - f(10) and f(5) + f(S) - f(10). O Yes, because (5 + 5) = f(25) and (5) + (5) = (25). O No, because f(5 + 5) = f(10) which is not equal to f(5) + (5). O No, because (5) + (5) = (25) which is not equal to f(5 + 5). (c) If the couple is looking at a house that requires them to finance $229,000, how long must they make payments? Write this correspondence in the form A = f(t), where t is measured in years. $229,000 = (

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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
t
A
80,000
20
199,000
10
135,000
25
217,000
15
173,000
30
229,000
(a) Find f(20).
f(20) =
Write a sentence that explains its meaning.
O The couple can reduce their payments by $20 if they reduce the amount they borrow by this much.
O It will take 20 years to pay off a debt of this amount.
O The couple must repay this much per year for every $20 borrowed.
O It will take this number of years to pay off a debt of 20 thousand dollars.
(b) Does f(5 + 5) = f(5) + f(5)? Explain.
O Yes, because f(5 + 5) = f(10) and f(5) + f(5) = f(10).
O Yes, because f(5 + 5) = f(25) and f(5) + f(5) = f(25).
O No, because f(5 + 5) = f(10) which is not equal to f(5) + f(5).
O No, because f(5) + f(5) = f(25) which is not equal to f(5 + 5).
(c) If the couple is looking at a house that requires them to finance $229,000, how long must they make payments? Write this correspondence in the form A = f(t), where t is measured in years.
$229,000 = f

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