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Oduvanchick [21]
3 years ago
7

Iris has been studying an invasive population of snails. This particular snail has no local predators so the population grows wi

ldly. She has observed that the population follows an exponential rate of growth for fifteen years. Create your own exponential function, f(x), which models the snail population. You will need to identify the principal population of the snails and the rate of growth each year. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences.
Mathematics
1 answer:
borishaifa [10]3 years ago
6 0
A good equation would be: f(<em>x</em>)=<em>P</em>(<em>r</em>)^(15). The full equation would be f(<em>x</em>)=<em>P</em>(<em>r</em>/1)^(1(15)), but I just simplified it. <em>P</em> is the initial/principal population of the snails, and <em>r</em> is the yearly rate of growth.
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Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

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Now, for a line with two points on it, the slope of the line is given as:

m=\frac{y_2-y_1}{x_2-x_1}

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

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y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

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4 0
3 years ago
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3 0
2 years ago
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5 0
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Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate l
AURORKA [14]

Answer:

<em>The correct option will be:   (b) 7 feet.</em>

Step-by-step explanation:

Suppose, the length of the garden is  x feet.

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Given that, the <u>area is 52 square feet</u>. So, the equation will be.......

x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7

So, the approximate length of the garden will be 7 feet.

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