Which of the following is not an example of exponential growth or decay? a. a t-shirt shrinks by 2% after each wash b. a one time bonus of 10% of a worker’s annual salary c. a yearly pay increase of 3% each year d. a savings account growing by 3% each year

B. A one time bonus of 10% of a worker’s annual salary.

Step-by-step explanation:

In exponential growth or exponential decay, the original size of a quantity is increases or decreases by a constant factor after a particular interval,

Moreover, If change factor > 1 then exponential growth occurs,

If If 1 > change factor > 0 then exponential decay occurs,

In option A,

t-shirt shrinks by 2% after each wash,

Thus, the size of shirt after a wash = 98 % of initial size = 0.98 of initial size,

Hence, the size of shirt is decreases by the factor 0.98 after each wash( particular interval)

Also, 0 < 0.98 < 1

⇒ It is an example of exponential decay,

In option B,

One time bonus of 10% of a worker’s

Since, the bonus will be obtained only one time,

Thus, there is no any growth or decay factor,

⇒ It is not an example of either exponential decay or exponential growth,

In option C,

A yearly pay increase of 3% each year ,

Thus, the pay after 1 year = 103 % of initial pay = 1.3 of initial pay,

Hence, yearly pay increase by the factor 1.3 after each year( particular interval)

Also, 1.3 > 1

⇒ It is an example of exponential growth,

In option D,

A savings account growing by 3% each year,

Thus, the amount after 1 year in the account = 103 % of initial size = 1.03 of initial size,

Hence, the  savings account growing by 3% by the factor 1.03 after each year( particular interval)

Also, 1.3 > 1

⇒ It is an example of exponential Growth.