Question

Fidel has a rare coin worth $550. Each decade, the coin’s value decreases by 10% Which kind of function best models the relationship between the coins value? Is it increasing or decreasing.

Answer 1

Decreasing. Because it's going down 10% each decade

Answer 2

Answer:

It is decreasing and function represent relationship between coins value is $f(n)=550(\frac{9}{10})^n$

Step-by-step explanation:

Given: Value of Coin = $ 550

           Rate of Decrease of value of coin = 10% per decade

To find: Function that define relationship between coins value.

let n be the number of decade.

then value of coin after n decade is given by function, f(n)

$f(n)=550(1-\frac{10}{100})^n$

$f(n)=550(\frac{9}{10})^n$

Clearly we are given rate of decrease of coins value.

So. It is Decreasing.

Therefore, It is decreasing and function represent relationship between coins value is $f(n)=550(\frac{9}{10})^n$