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Nostrana [21]
4 years ago
5

Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before.

How many rabbits were there after x years? Write a function to represent this scenario.
A. f(x) = 6(x)^4
B. f(x) = 4(6)^x
C. f(x) = 4(x)^6
D. f(x) = 6(4)^x
Mathematics
2 answers:
asambeis [7]4 years ago
8 0
C. is the right answer.
QveST [7]4 years ago
3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Initial population of rabbits =<em> A = </em>6

Each year, there were 4 times as many rabbits as the year before.

i.e. b = 4

Let the number of years be x.

So, our required equation will be

f(x)=Ab^x=6(4)^x

Hence, Option 'D' is correct.

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Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
Lostsunrise [7]

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: -4\frac{1}{2}. Substitute -4\frac{1}{2} for x and 10 for y in the equation, then solve:  

y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10

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8 0
3 years ago
(08.06 MC)
const2013 [10]

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

8 0
4 years ago
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