Which of the following is an example of exponential growth or decay? a. a palm tree growing 8 inches every year b. putting $100 in a savings account each week c. a retirement savings account growing by 8% each year d. a car insurance premium decreasing by $50 each year

In exponential growth or decay the increase or decrease is not constant , but it increases or decreases exponentially , i.e. in percentages.

Now let's see the options

a) a palm tree growing 8 inches every year

in this the palm tree is growing at the same constant rate , every year it increases 8 inches only , so this is linear growth.

b) putting $100 in a savings account each week

In this also same as part a , the account is getting $100 , every week , again the growth is linear.

c)a retirement savings account growing by 8% each year

Now in this , the growth is by percentage i.e. let the amount initially was $100 , next year it increases by 8% , and will become 108 , then next year 8% will be calculated on 108 not on 100 , So this growth is exponential

d)a car insurance premium decreasing by $50 each year

here also it is decreasing by $50 each year , decay is constant , not exponential

So answer is OPTION -C

what is the information provided?

step-by-step explanation:

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: