Question

Y=190(1.471)^x determine the percentage of increase or decrease

Answer 1

Given:

The exponential function is:

`y=190(1.471)^x`

To find:

The percentage of increase or decrease.

Solution:

The general exponential function is:

`y=a(1+r)^x` ...(i)

Where, a is the initial value,t is the time period, r is the rate of increase if
`r>0` and r is the rate of decrease if
`r<0`.

We have,

`y=190(1.471)^x`

It can be written as:

`y=190(1+0.471)^x` ...(ii)

On comparing (i) and (ii), we get

`r=0.471`

Since
`r>0`, therefore the given function is an increasing function.

`r\%=0.471* 100`

`r\%=47.1\%`

Therefore, the percentage of increase is 47.1%.