Question

Suppose an iphone loses 63% of its value each year. Write a function that represents the value of the phone after x years.

Answer 1

Answer:

The function which represent the phone value after x years                      f = i $(0.37)^{x}$

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 × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, $ f = $ i × $(1-\dfrac{\textrm r}{100})^{\textrm time}$

Or, $ f = $ i × $(1-\dfrac{\textrm 63}{100})^{\textrm x}$

Or, $ f = $ i × $(0.37)^{x}$

So, The function which represent the phone value after x years =                    f = i $(0.37)^{x}$

Hence, The function which represent the phone value after x years                     f = i $(0.37)^{x}$  Answer