Answer:
The function which represent the phone value after x years f = i [tex](0.37)^{x}[/tex]
Step-by-step explanation:
Given as :
The rate of depreciation of i-phone value each year = r = 63%
The initial value of i-phone = $ i
The final value of i-phone = $ f
The time period for depreciation = x year
Now, According to question
The final value of i-phone = The initial value of i-phone × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, $ f = $ i × [tex](1-\dfrac{\textrm r}{100})^{\textrm time}[/tex]
Or, $ f = $ i × [tex](1-\dfrac{\textrm 63}{100})^{\textrm x}[/tex]
Or, $ f = $ i × [tex](0.37)^{x}[/tex]
So, The function which represent the phone value after x years = f = i [tex](0.37)^{x}[/tex]
Hence, The function which represent the phone value after x years f = i [tex](0.37)^{x}[/tex] Answer