Each function below describes how something changes. Use the description to determine which function(s) describe exponential growth or decay. Select all that apply.A. The pollution increases at a rate of 10 grams per day.B. The power of a turbine is proportional to the square of wind speed.C. The thickness of ice increases by thirty millimeters each day.D. The volume of a sphere doubles every minute.E. The population decreases by 11 % each year.

Step-by-step explanation: In A, the pollution increases at a constant rate, but in a linear way, in other words in each day, the pollution increases 10 grams; The same goes for C: ice "grows" a few milimeters each day; In D, as volume is calculated by the multiplication of π and its radius, the increase in the volume is still linear. In B, the proportionality is related to the power of the turbine not the growth or decay of it. In E, a population grows or decreases in a form of A=A₀(1±r)^t. In this case: A = A₀ (1-0.11)^t.

In conclusion, the function that better describes an exponential growth or decay is the decrease of a population.

joaobezerra joaobezerra · Answer 2 · 2021-11-25T14:40:48+01:00

Using the concept of an exponential function, it is found that these following situations are examples:

D. The volume of a sphere doubles every minute.

E. The population decreases by 11 % each year.

An exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.
r is the rate of change.

Hence, basically, if the rate of change is a percent, the function is exponential

In this problem, the rate of change for items A, B and C are constant values, hence they are not exponential functions.

In items D and E, the rate of change is a percent, as for D [tex]r = 1[/tex], as doubling is a rate of change of 100%, and for E [tex]r = -0.11[/tex], as it is a day, hence, they are exponential functions.

A similar problem is given at https://brainly.com/question/16201003