Respuesta :

Answer:

the function is y= 100-0.095x

Step-by-step explanation:

Step one:

given data

A stock valued at $100 decreases in value by 9.5%

let the number of years be x

Step two:

Hence, the rate of decrease is 0.095

therefore the function is

y= 100-0.095x

The function which represents the situation is

[tex]f(x) = 100 - {0.95}^{x} [/tex]

How to write exponential function

  • original value of stock = $100

Percentage decrease per year = 9.5%

= 9.5/100

= 0.095

  • Number of years = x

f(x) = 100 - 0.095^x

[tex]f(x) = 100 - {0.95}^{x} [/tex]

Therefore, the function which represents the situation is f(x) = 100 - 0.095^x

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