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Answer:

V (t) = 28,900 - 4,335t

The function clearly represent a decay

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - 4,335t

The function clearly represent a decay.

The function for the value of the car is [tex]v(t)=28900(0.85)^t[/tex], where [tex]t[/tex] is the time in years. It is a decay function.

It is given that,

  • The initial value of the car is $28900
  • Decreasing rate is 15% per year.

Explanation:

The value of car after [tex]t[/tex] years is:

[tex]v(t)=a(1-r)^t[/tex]

Where, [tex]a[/tex] is the initial value and [tex]r[/tex] is the decay rate.

The value of car is:

[tex]v(t)=28900(1-0.15)^t[/tex]

[tex]v(t)=28900(0.85)^t[/tex]

Thus, the required function is [tex]v(t)=28900(0.85)^t[/tex] and it is a decay function because growth factor 0.85 is less than 1.

Learn more:

https://brainly.com/question/11795335