Which of the following algebraic expressions could represent thirty less than one-half the value of x?
1 answer:
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Answer:
<h2>A.</h2>Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where represents days and
represents bees.
The exponential function that models this problem must be like
, which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that , because it starts with 10,000 bees.
Let's use the points (10, 7500)
Solving for , we have
Using logarithms, we have
Replacing all values in the model, we have
Therefore, the right answer is the first choice, that's the best approximation to this situation.