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. t A t A 5 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. It will take this number of years to pay off a debt of 20 thousand dollars.The couple must repay this much per year for every $20 borrowed. 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. (b) Does f(5 + 5) = f(5) + f(5)? Explain. Yes, because f(5 + 5) = f(10) and f(5) + f(5) = f(10).Yes, because f(5 + 5) = f(25) and f(5) + f(5) = f(25). No, because f(5 + 5) = f(10) which is not equal to f(5) + f(5).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 $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
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. t A t A 5 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. It will take this number of years to pay off a debt of 20 thousand dollars.The couple must repay this much per year for every $20 borrowed. 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. (b) Does f(5 + 5) = f(5) + f(5)? Explain. Yes, because f(5 + 5) = f(10) and f(5) + f(5) = f(10).Yes, because f(5 + 5) = f(25) and f(5) + f(5) = f(25). No, because f(5 + 5) = f(10) which is not equal to f(5) + f(5).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 $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
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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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.
| t | A | t | A |
|---|---|---|---|
| 5 | 80,000 | 20 | 199,000 |
| 10 | 135,000 | 25 | 217,000 |
| 15 | 173,000 | 30 | 229,000 |
(a) Find f(20).
Write a sentence that explains its meaning.
(b) Does
(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
f(20) =
Write a sentence that explains its meaning.
It will take this number of years to pay off a debt of 20 thousand dollars.The couple must repay this much per year for every $20 borrowed. 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.
(b) Does
f(5 + 5) = f(5) + f(5)?
Explain.Yes, because f(5 + 5) = f(10) and f(5) + f(5) = f(10).Yes, because f(5 + 5) = f(25) and f(5) + f(5) = f(25). No, because f(5 + 5) = f(10) which is not equal to f(5) + f(5).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 $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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