Question

***ASAP PLEASE***

A brand new smartphone costs $1200. It decreases in value by 13. 3% every year

after its purchase. Which function models the value of the phone x years after its

puchase?


A. F(x) = 1200(0. 867)^x

B. F(x) = 1200(1. 133)^x

C. F(x) = 1. 133(1200)^x

D. F(x) = 0. 867(1200)^x

Answer 1

The function of the brand new smartphone is an exponential function

The function that models the value of the phone x years after its puchase is f(x) = 1200(0.867)^x

How to model the function?

The given parameters are:

Initial value (a) = $1200

Rate (r) = 13.3%

An exponential function that represents a decrement in value is illustrated using:

$f(x) = a(1 - r)^x$

Substitute known values

$f(x) = 1200(1 - 13.3\%)^x$

Evaluate the difference

$f(x) = 1200(0.867)^x$

Hence, the function that models the value of the phone x years after its puchase is f(x) = 1200(0.867)^x

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