Question

For each annual rate of change, find the corresponding growth or decay factor. -55 %

Answer 1

The decay factor for the annual rate of change of - 55 % is 0.45.

A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.

With the function displayed to the right, you may represent exponential growth or decay.

A(x) = a( 1 + r)ˣ

Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.

Now, we have the annual rate of change as:

r = - 55 % = - 55 / 100 = - 0.55

From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.

So, let B = 1 + r

B = 1 + r

B = 1 + (- 0.55)

B = 1 - 0.55

B = 0.45

Now, the value of B is less than 1 therefore, the corresponding decay factor is 0.45.

Learn more about growth and decay factor here:

brainly.com/question/16702201

#SPJ4