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leva [86]
3 years ago
12

Two fish are put in a man-made lake with no other fish in it. Each month, the fish population triples. Which model and equation

best represents this plan?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

The basic model for this growth is the exponential function:  y = a(b)^c, where a is the initial value, b is the growth rate and c is the time.

Here we have P = fish population = (2 fish)(3)^t

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The population of a city in 2005 was 18,000. By 2010 the city's population was 45,000. Economists have determined that the popul
miv72 [106K]

Answer:

112,547.095  million

Step-by-step explanation:

Data provided in the question

Population of a city in 2005 = 18,000

In the year 2010, the city population = 45,000

Now to find out the projected population for 2015 we use the exponential model

 P = P(0)\times e^{rt}

where

P(0) = Initial population

r = growth rate

t = time

e = natural log

So,

45,000 = 18,000 \times e^{5r}

So

e^{5r} = \frac{45}{18}

5r = ln \frac{(45)}{(18)}

r ≈ 0.1833

Now

P = 18,000e^{10\times0.1833}

= 112,547.095  million

5 0
3 years ago
Through (-2, -3), perp. to y = x- 2/1
WARRIOR [948]

Answer:

The equation of line passing through point ( - 2 , - 3 ) and slope 1 is          y = x - 1

Step-by-step explanation:

Given equation of line as :

y = x - \frac{2}{1}

i.e y = x - 2

The standard equation of line is given as

y = m x + c ,

where m is the slope of the line and c is the y-intercept

Now, comparing the line , we have

Slope = m = 1

Now, The other line is perpendicular to the first line

So, from perpendicular property of line

The product of their slope = - 1

Let The slope of other line = M

So,  m × M = - 1

Or,  ( - 1 ) × M = - 1

or M = \frac{- 1}{- 1}

∴  M = 1

So , The slope of other line = M = 1

∵ The other line is passing through point ( x , y ) =  ( - 2 , - 3 )

Now, satisfying the points and slope with standard line equation

I.e y = M x + c

or, - 3 = 1 × ( - 2 ) + c

or, -3 = - 2 + c

or, - 3 + 2 = c

∴  c = - 1

So, The intercept of other line = c = - 1

Now The equation of line with slope intercept

y = 1 × x + ( - 1 )

Or, y = x - 1

Hence The equation of line passing through point ( - 2 , - 3 ) and slope 1 is  y = x - 1       Answer

5 0
3 years ago
Mackenzie built the small LEGO set. It cost $5.49.
antiseptic1488 [7]

Answer:

maybe $50 at Walmart

Step-by-step explanation:

5 0
2 years ago
DMAS
777dan777 [17]

Answer: 55

Step-by-step explanation:

Let the number of cars washed last year be denoted as x.

This year, he washed 14 fewer cars than during last year's car wash. This will be denoted as x-14.

We can then represent them in an equation as:

x + (x - 14) = 96

2x - 14 = 96

2x = 96 + 14

2x = 110

x = 110/2

x = 55

Therefore, he washed 55 cars this year

7 0
3 years ago
The graph shows the relationship between hours worked and total earnings for a store clerk. Let h represent hours worked and e r
Dovator [93]

Answer:

The answer is C.

Step-by-step explanation:

y = kx → e =

30

4

h → e = 7.5h

The independent variable is hours worked, h, and the dependent variable is total earnings, e. The independent variable is the input value of a function. The dependent variable is the output value of a function.

8 0
3 years ago
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