Scientists studied two animal populations. Function f(x) = 830(0.8)^x models a bear population in a given region x years after t
2 answers:
Answer:
<h2>There were 40 more bears than cougars when the study started.</h2>Step-by-step explanation:
Givens:
; where
refers to years after the study began, about bear population.
- Table given is for cougar population.
So, the problem is asking how many more bears than cougars were in the given region. From the table, we know that there where 790 cougar when the study started.
Now, we have to calculate the initial condition of the function, because it's modelling bear population. Initial condition means when the study started, which is when .
So, we have:
So, there were 830 bears when the study started.
If we compare, we find that there were 40 more bears than cougars when the study started, because 830-790 = 40.
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<h3>Answer: n = -11</h3>
The other choices are false, so choice C is the only solution here.
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Explanation:
Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.
The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...
See the diagram below.
Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.
With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.
The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.