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.

Question

Mathematics

Johnathan

6 July, 10:18

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.

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Kaylynn Rose · Answer 1

Answer: E. The population decreased 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.