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

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

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-(\textrm rate)/(100))^(\textrm time)`

Or, $ f = $ i ×
`(1-(\textrm r)/(100))^(\textrm time)`

Or, $ f = $ i ×
`(1-(\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