Can someone please help me solve the problem

Question

asked Oct 19, 2022 210k views

1 Answer

Melix · Answer 1 · 2022-10-26T01:00:57+0000

Given:

The exponential function is:

y=630(0.94)^x

To find:

The percentage rate of increase or decrease.

Solution:

The general exponential function is:

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

Where, a is the initial value, |r| is the growth rate in decimals if r>0 and |r| is the decay rate in decimal if r<0.

The exponential function is:

y=630(0.94)^x

It can be written as:

y=630(1-0.06)^x

y=630(1+(-0.06))^x ...(ii)

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

r=-0.06

Since r is negative, therefore the given function is a decreasing or decay function.

Now,

|r|=|-0.06|

|r|=0.06

So, the rate of decrease is 0.06. Multiply this number by 100 to get the percentage.

$0.06* 100=6\%$

Therefore, the rate of decrease is 6%.