A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing to create new plants. The table below shows the expected number of bulbs for each method.
Need Part A-C

A Gardener Can Increase The Number Of Dahlia Plants In An Annual Garden By Either Buying New Bulbs Each

Answers

Answer 1

Answer:

Step-by-step explanation:

Part A

If the gardener increases the number of dahlia plants by buying the new bulbs,

Let the equation representing year (x) and number of bulbs purchased (y) is,

y = mx + b

Here, m = Number of plants purchased each year

b = Initial numbers of plants

For x = 0, and y = 6,

6 = m(0) + b

b = 6

For x = 1, y = 56,

56 = m(1) + 6

m = 50

Therefore, equation for this method of increasing the numbers of plants will be,

y = 50x+ 6

Let the equation for the second method of increasing the number of plants is represented by the equation,

y = a(b)ˣ

From the data given in the table,

For x = 0, y = 6

6 = a(b)⁰

a = 6

For x = 1, y = 12

12 = 6(b)¹

b = 2

Therefore, equation representing the second method (By diving the existing bulbs) will be,

y = 6(2)ˣ

Part B

By substituting the value of x = 10 years,

Method - 1

y = 50(10) + 6

y = 506 plants

Method - 2

y  = 6(2)¹⁰

y = 6144 plants

Part C

After 5 years number of plants by method - 1,

y = 50(5) + 6

  = 256

After 5 years number of plants by method - 2,

y = 6(2)⁵

y = 192

Similarly, After 10 years number of plants by method - 1,

y = 50(10) + 6

  = 506

By method - 2,

y = 6(2)¹⁰

y = 6144

Since, number of plants after 5 years are less by the second method as compared to method 1

But after 10 years second method results the number of plants more than method-1,

Therefore, gardener should adopt method 2 for increasing the numbers of plants.  

Answer 2

Functions are used to represent tables and equations.

(a) The equation of the functions

The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)

So, the equation is:

[tex]y = 6 + 50x[/tex]

The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)

So, the equation is:

[tex]y = 6(2)^x[/tex]

Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]

The expected number of bulbs in 10 years

This means that x = 10.

So, we have:

[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]

[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]

Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively

Compare the expected number of bulbs in 5 and 10 years

When x = 5.

We have:

[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]

[tex]y = 6(2)^x =6 *2^5 = 192[/tex]

When x = 15

We have:

[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]

[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]

By comparison;

In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years

Read more about functions at:

https://brainly.com/question/15602982


Related Questions

WILL GIVE BRAINLIEST FOR RIGHT ANSWER 16 POINTS

Answers

Answer:

Absolute value means 2 equations so work below.

Step-by-step explanation:

x + 2 = 3

x = -1

x - 2 = 3

x = 5

I hope I didn't just confuse myself it's been YEARS since i've had simple questions like this (i can edit if needed)

A student believes that a certain number cube is unfair and is more likely to land with a six facing up. The student rolls the number cube 45 times and the cube lands with a six facing up 12 times. Assuming the conditions for inference have been met, what is the 99% confidence interval for the true proportion of times the number cube would land with a six facing up?

0.27 plus-or-minus 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot
0.73 plus-or-minus 2.33 StartRoot StartFraction 0.73 (1 minus 0.73) Over 45 EndFraction EndRoot
0.27 plus-or-minus 2.33 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot
0.73 plus-or-minus 2.58 StartRoot StartFraction 0.73 (1 minus 0.73) Over 45 EndFraction EndRoot

Answers

Answer: Option #1

Step-by-step explanation:

99 % confidence level - so it has to be 2.58 not 2.33 ( thats 98% confidence level )

then 12times facing u out of 45 times .... 12/45= .27

Option #1 :  0.27 +/- 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot

The 99% confidence interval for the true proportion of times the number cube would land with a six facing up is 0.27 plus-or-minus 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot.

What is Confidence Interval?

This is an operation which is used to measure probability that a parameter will fall between a pair of values around the mean

99 % confidence level is closer to 2.58 and 12 times facing up out of 45 times which is 12/45= .27

Hence the reason why option  A was chosen as the most appropriate choice.

Help I will be marking brainliest!! No links please!

A. 42,757.2
B. 4,750.8
C. 128,271.6
D. 256, 543. 2

Show work, if possible. Thanks❤️

Answers

Answer:

384130.764(I DIDNT ROUND IT)

Step-by-step explanation:

Hey there, friend!

Here's my answer!

[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]

[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]

B. 4,750.8

C. 128,271.6

D. 256, 543. 2

============================

[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]

First, multiply 37 and 42.8

[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]

Second, multiply 1,583.6 and 27

[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]

[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]

============================

That's my answer

Keep safe, friend

Which expression is equivalent to 16+ 2 36?

Answers

Answer is 4(2x+3)(2x-3)

What is the distance between ( 7, -1) and ( 7, -5) and why?
I will give branily to whoever is right

Answers

Answer:

The distance is 4

Step-by-step explanation:

Given:

x1 = 7

x2 = 7

y1 = -1

y2 = -5

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(7-7)^2+(-5+1)^2}\\\\d=\sqrt{(0)^2+(-4)^2} \\\\d=\sqrt{0+16} \\\\d=\sqrt{16} \\d=4[/tex]

Answer:

4 units

Step-by-step explanation:

the distance between two points is given by,

[tex]D = \sqrt{{(x_{1}-x_{2})}^{2} + {(y_{1}-y_{2})}^{2} } \\x_{1}=7; x_{2}=7; y_{1}=-1; y_{2}=-5\\D=\sqrt{{([7]-[7])}^{2} + {([-1]-[-5])}^{2} }\\D=\sqrt{{(0)}^{2} + {(4)}^{2} }\\D=\sqrt{0 + 16 }\\D=\sqrt{16}\\D=4[/tex]

Mr. And Mrs. Griffin hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $8,500 to her education?

Answers

Answer:

$2,385.75 = P

Step-by-step explanation:

In order to calculate this we need to use the following compound interest formula and solve for the initial investment amount which is P.

A = P (1 + r/n) (nt)

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

If we plug in the values provided in the question which is compounded once per year we would get the following equation which we can solve for P.

8500 = P (1 + (0.095/1))^(1*14)

8500 = P (1.095)^(14)

8500 = P (3.56285)

2,385.75 = P

Mr. and Mrs. Griffen need to invest $2,385.75 now for 14 years in order to contribute a total of $8,500

What is sin 20° cos 4° + cos 20° sin 4º equal to?

Answers

Answer:

Sin24

Step-by-step explanation:

Hope you see the given image .

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Answers

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

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Answer:

11). 3x² -x    12). -5x + 5

Step-by-step explanation:

11). (4x² + x) - (x² + 2x)

4x² + x - x² - 2x

4x² - x² + x - 2x

3x² -x

12). (6x - 3) - (11x -8)

= 6x - 3 - 11x + 8

= 6x - 11x - 3 + 8

= -5x + 5  

The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is
1 centimeter:6 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the
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The area of the actual floor isſ ] square feet. The ratio of the area in the drawing to the actual
area is 1 square centimeter: square feet
View Example
f Step-by-step
Textbook
Print

Answers

Answer:

actual area = 900 square feet

ratio = 1cm2 : 36ft2

Step-by-step explanation:

square room

area = 25cm2

1 side =  √ 25

         =  5cm

1cm = 6ft

5cm = 5 x 6

      = 30ft = 1 side

actual area = 30 x 30 = 900ft

ratio = square cm : square feet

       = 25     :     900  ( simplify both ratio )

      = 1cm2  :  36ft2

Using the pattern of blocks below, how many blocks does Figure 26 have?

Answers

All of the start out with one and then add 2 from there and they add a block on top
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Supposed B is the midpoint of line AC. Use the given information to find the missing measure. AB = 6Y -14, BC = 10-2Y 2Y, what is AC

Answers

Given:

B is the midpoint of line AC.

[tex]AB=6Y-14[/tex]

[tex]BC=10-2Y[/tex]

To find:

The length of AC.

Solution:

It is given that B is the midpoint of line AC. So,

[tex]AB=BC[/tex]

[tex]6Y-14=10-2Y[/tex]

[tex]6Y+2Y=10+14[/tex]

[tex]8Y=24[/tex]

Divide both sides by 8.

[tex]Y=\dfrac{24}{8}[/tex]

[tex]Y=3[/tex]

The value of Y is 3.

Now,

[tex]AC=AB+BC[/tex]

[tex]AC=6Y-14+10-2Y[/tex]

[tex]AC=4Y-4[/tex]

Putting [tex]Y=3[/tex], we get

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[tex]AC=12-4[/tex]

[tex]AC=8[/tex]

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Step-by-step explanation:

$14.55 x 1.06 = $15.423

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Answers

Slope : 2
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Answers

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Work out the value of x.

Answers

Answer:

x = 30°

Step-by-step explanation:

4x + 2x = 180°  because they are supplemental angles

6x = 180°

divide both sides of the equation by 6:

x = 30°

4x+2x=180
6x=180
6x/6 = 18/6
x=30

The faces of a fair 6-sided cube are numbered 1 through 6.
What is the probability that a 2, 3, or 5 will land face-up on
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Answers

Answer:

1/2

Step-by-step explanation:

2,3,5 are three out of a total of six options

3/6 = 1/2

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Answer:

markus could run 12 kilometers in an hour

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Step-by-step explanation:

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Answers

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Aidan makes 12 bracelets on Monday. He makes 8 more bracelets each day from Tuesday through Thursday. How many bracelets does Aidan have in all by the end of the day on Thursday? *
5 points

Answers

Answer:

He makes 44 bracelets on Friday.

Brainly me or heart if this helped!

Answer:

36 bracelets

Step-by-step explanation:

12+(3*8)=x

12+24=36

Aidan originally started with 12 bracelets. He makes 8 Tuesday through Thursday, which is three days. 8 * 3 is 24 plus 12 equals 36.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

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it equals 12 lololololol

Answer: 3/4x - 1/2x -4=12

               1/4x - 4 = 12 x = 64

. Es una característica numérica de la población, para su cálculo se emplean formulas y generalmente se indican con letras griegas. A) Estadístico o Valor Estadístico B) Parámetro C) Dato Continuo D) Dato Cuantitativo

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Answer:

B) Parameter

Step-by-step explanation:

To find  - It is a numerical characteristic of the population, formulas are used for its calculation and are generally indicated with Greek letters. A) Statistical or Statistical Value B) Parameter C) Continuous Data D) Quantitative Data

Answer -

The correct option is - B) Parameter

Reason -

In statistics, A parameter is a numerical characteristic of a population, as distinct from a statistic of a sample.

29/1000
The fraction can be written as which decimal?
1,000
A)
0.0029
B)
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0.29
2.9

Answers

B. 0.029
You would divide 29 into 1000 in a calculator and you get that as your decimal
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