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 deñote this function by A = f(t), then the following table defines the function. A 80,000 20 199,000 10 135,000 25 217,000 15 173,000 30 229,000 (a) Find f(25) f(25) = Write a sentence that explains its meaning. O It will take this number of years to pay off a debt of 25 thousand dollars. O The couple can reduce their payments by $25 if they reduce the amount they borrow by this much. O It will take 25 years to pay off a debt of this amount. O The couple must repay this much per year for every $25 borrowed. (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) + (5). O No, because f(S) + f(5) - F(25) which is not equal to (5 + 5). (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(C), where t is measured in years. $173,000 - f

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 deñote this function by A = f(t), then the following table defines the function. A 80,000 20 199,000 10 135,000 25 217,000 15 173,000 30 229,000 (a) Find f(25) f(25) = Write a sentence that explains its meaning. O It will take this number of years to pay off a debt of 25 thousand dollars. O The couple can reduce their payments by $25 if they reduce the amount they borrow by this much. O It will take 25 years to pay off a debt of this amount. O The couple must repay this much per year for every $25 borrowed. (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) + (5). O No, because f(S) + f(5) - F(25) which is not equal to (5 + 5). (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(C), where t is measured in years. $173,000 - f

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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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

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
80,000
20
199,000
10
135,000
25
217,000
15
173,000
30
229,000
(a) Find f(25).
f(25) =
Write a sentence that explains its meaning.
It will take this number of years to pay off a debt of 25 thousand dollars.
The couple can reduce their payments by $25 if they reduce the amount they borrow by this much.
O It will take 25 years to pay off a debt of this amount.
O The couple must repay this much per year for every $25 borrowed.
(b) Does f(5 + 5) = f(5) + f(5)? Explain.
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).
%3D
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).
%3D
(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), where t is measured in years.
$173,000 = f

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please help me with this study problem.
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