Question four should be -7, question five should be 99, and question six should be 56.
Which statement best explains why this expression is equal to 6.27?
2 answers:
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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,
.
Using an exponential function, it is found that:
a)
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
Item b:
This is N when t = 3.8, hence:
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at brainly.com/question/25537936