Question

Which is the initial value that shrinks an exponential growth function by 50%? One-fifth One-fourth One-third One-half

Answer 1

It's D on edge :D

Explanation:

Answer 2

One-half

Explanation:

Given

Exponential function

Required

The initial value that shrinks the function by
`50\%`

An exponential function is represented as:

`y = ab^x`

Where the growth function is:

`r = b^x`

`a \to` initial value

For the growth function to shrink by x%, then:

`a =1 - x\%`

In this case; x = 50. So, we have:

`a =1 - 50\%`

Express as fraction

`a =1 - (50)/(100)`

Take LCM

`a =(100 -50)/(100)`

`a =(50)/(100)`

Reduce fraction

`a =(1)/(2)`