How on earth do i do this? in the year 2015, anna bought a new car for $36,000. in 2017, she was told that the value of her car was $25,000 due to depreciation. she is told that the value of her car depreciates linearly. find a function v(t) which gives the value of the car t years after the year 2015. in 2018, anna is told that she will be given $15,000 for her car if she decides to trade it in for a new car. use the function from part (1) above to determine the value of her car in 2018. is the $15,000 value fair based on what she was told about linear depreciation? explain your answer?

Part A

Purchase Value of Anna's Car in 2015 = $36,000

Depreciated Value of Anna's Car in 2017 = $25,000

We know that the value of the car is depreciating linearly.

From the above data, we can see that the value of the car has reduced by $36,000-$25,000 = $11,000 over 2 years.

⇒ Per year the value has been depreciated by

⇒ Per year the value has been depreciated by $5,500

So if the value of a car in 2015 is V₀ then value of the car after t years can be determined by the below function:

V (t) = V₀ - (t*5,500), where t indicates the years passed since 2015

OR V (t) = 36,000 - (t*5,500), where t indicates the years passed since 2015

Part B

Suggested value of Anna's car for trade in option in 2018 = $15,000

In 2018, 3 years would have been passed since 2015. Using the value of t = 3 in the function determined in Part A:

V(3) = V₀ - (3*5,500)

⇒ V(3) = 36,000 - (16,500)

⇒ V(3) = $19,000

From the above calculations, we can see that the value of the car in 2018 should be $19,000, however the suggested value for trade in is indicated as $15,000 which is lower than what the value of the car should be. Hence, basis linear depreciation, the $15,000 value is not fair for the car in 2018.

the answer is b.)

< 1=< 2

50- 250 is correct i did that one too

step-by-step explanation: