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kherson [118]
3 years ago
7

A submarine started at sea level and was 400 meters below sea level in 10 minutes. Which statement correctly explains the submar

ine’s rate of movement? A. Since = 40, you find that the submarine ascended at a rate of 40 meters per minute. B. Since = –40, you find that the submarine ascended at a rate of 40 meters per minute. C. Since = 40, you find that the submarine descended at a rate of 40 meters per minute. D. Since = –40, you find that the submarine descended at a rate of 40 meters per minute.
Mathematics
2 answers:
enot [183]3 years ago
3 0
D because the submarine started at sea level and ended 400 meters BELOW sea level.
Studentka2010 [4]3 years ago
3 0
I would say D.) Because the rate is 40 and you are indeed descending. Between this answer and C.) I'd choose this one because it has the negative sign in front of the 40 to communicate that the sub is indeed descending. 
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Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

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