Question

Given the following exponential function, identify whether the change represents

growth or decay, and determine the percentage rate of increase or decrease.
y=2700(0.453)

Answer 1

54.7%

Explanation:

Given the function :

y=2700(0.453)

y represents an exponential Decay function because :

For a growth function ; the function :

y = A(1 + r) where, A is the initial amount and r = growth rate

With this function ; the value in bracket will always be greater Than 1

Hence, when the value after the initial value is less than 1 ; then we have an exponential Decay ;

Where

y = A(1 - r)

Hence, rate, r equals :

1 - r = 0.453

1 - 0.453 = r

r = 0.547

= 0.547 * 100%

= 54.7%