Final answer:
In this case, the yearly percent change of the number of animal species according to the given function is 72%
The answer is option ⇒A
Step-by-step explanation:
The given function, S(t) = 4,200,000 - (0.72)t, represents the relationship between the elapsed time, t, in years since the ice age began, and the total number of animal species, S(t), in Australia.
To find the yearly percent change in the number of animal species, we need to analyze the coefficient of t in the function, which is -0.72. This coefficient represents the rate of change in the number of animal species per year.
To express this rate of change as a percentage, we can multiply it by 100. Therefore, the yearly percent change in the number of animal species is -0.72 * 100 = -72%.
However, it's important to note that the negative sign indicates a decrease in the number of animal species over time. This means that the number of animal species is decreasing by 72% each year since the ice age began, according to the given function.
Therefore, the correct answer is A) 72% for the yearly percent change of the number of animal species according to the given function.
Your question is incomplete, but most probably the full question was:
After the last Ice Age began, the number of animal species in Australia changed rapidly.
The relationship between the elapsed time, t,in years, since the ice age began, and the totalnumber of animal species, Syear(t), is modeled by the following function:
S(t) = 4,200,000 - (0. 72)t
What is the yearly percent change of the number of animal species according to the given function?
A) 72%
B) 28%
C) 128%
D) 50%