Answered

Given the exponential function A(x) = P(1 + r)x, what value for r will make the function a decay function?


r = 2.1

r = −0.1

r = 0

r = 0.1

Verified Answer :

sqdancefan

Any negative value of r will make the sum 1+r be less than 1.

The appropriate choice is r = -0.1.

Answer:

Option 2nd is correct

-0.1  value for r will make the function a decay function

Step-by-step explanation:

An exponential decay function is given by:

\(y = a(1-r)^x\)

where,

a>0 is the initial value,

r rate of decrease (0<r < 1) and

x is the time

As per the statement:

Given the exponential function

\(A(x) = P(1 + r)^x\)

from the given options and by definition, we have;

r = -0.1

Therefore, -0.1  value for r will make the function a decay function