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 $r$.

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.

$r\%=0.471\times 100$

$r\%=47.1\%$

Therefore, the percentage of increase is 47.1%.