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

It is decreasing and function represent relationship between coins value is
`f(n)=550((9)/(10))^n`

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-(10)/(100))^n`

`f(n)=550((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((9)/(10))^n`