What is the solution to 4x^3 – 3x^2 – 7x < 0? A. (–ꝏ, –1) U (0, 1.75) B. (–ꝏ, –1] U [0, 1.75] C. (–1, 0) U (1.75, ꝏ) D. [–1,
0] U [1.75, ꝏ)
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Answer:
Step-by-step explanation:
We are given that there is an exponential decay.
Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.
Since, the initial amount of the species is atleast 26 million.
Thus, the inequality for the corresponding model will be, ,
where t is the time period for the decay and P is the population.
Moreover, is is given that the population cannot be less than 2 million.
So, we get, .
Hence, the inequalities to determine the possible number of insects over time are given by,
.