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Mario's $15,000 car depreciates in value at a rate of 27.1% per year. The value, ​V,​ after ​t​ years can Be modeled by the function V = 15,000 (0.729)t​ ​ . Which function is equivalent to the original function?

1) 15,000 (0.9)3​ t
2) 15,000 (0.9)2​ t
3) 12,000 (0.9)t​ /9
4) 13,000

Respuesta :

2 is your answer. :)

The function V is equivalent to the function [tex]V = 15000 \times (0.9)^{3t}[/tex]. Then the correct option is A.

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the same value.

Mario's $15,000 car depreciates in value at a rate of 27.1% per year. The value, ​V,​ after ​t​ years, can Be modeled by the function

[tex]V = 15,000 \times (0.729)^t[/tex]

We know that

0.729 = 0.9³

Then the function can be written as

[tex]V = 15,000 \times (0.90)^{3t}[/tex]

More about the equivalent function link is given below.

https://brainly.com/question/889935

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