State whether the decay is linear or exponential, and answer the associated question. The value of a car is decreasing by 9% per year. If the car is worth $11 comma 000 today, what will it be worth in two years? g

Final value of the car after 2 years will be $9109.10

 Value of the car decay by 9%.

Since, 9% is a common factor by which the value of car is decreasing,

Therefore, decay will be exponential.

Expression for the exponential decay is given by,

Here, Final price

Initial price

Rate of decay

time

  If initial price of the car , rate of decay and Number of years

By substituting the values in the expression,

P =

  = 11000(0.91)²

  = $9109.10

   Therefore, final value of the car after 2 years will be $9109.10

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Step-by-step explanation:

Since the value of the car decreases by a common factor each year, the decay is exponential.

An exponential decay function is of the form

Therefore, the function modeling the car's decay is:

We want to determine the car's value in two years.

When t=2

The value of the car in 2 years will be A(t)=$9109.10

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step-by-step explanation: