A farmer buys a new tractor for $159,000 and assumes that it will have a trade-in value of $87,000 after 10 years.

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A farmer buys a new tractor for ​$159,000 and assumes that it will have a​ trade-in value of ​$87,000

after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor.

​(A) Find a linear model for the depreciated value V of the tractor t years after it was purchased.

V=_______

​( answer in​ slope-intercept form.)

​(B) What is the depreciated value of the tractor after 6

​years? The depreciated value of the tractor after 6 years is _________.

​(C) When will the depreciated value fall below ​$50,000​

The depreciated value will fall below ​$50,000 during the ______year.

​(Round up to the nearest​ integer.)

​(D) Graph V for 0 less than or equals≤tless than or equals≤20.

Choose the correct graph below.

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