The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Determine whether the data described in the tables is best modeled by a linear function or an exponential function

The Number Of Branches Of An Oak Tree And A Birch Tree Since 1950 Are Represented By The Following Tables:

Answers

Answer 1

Answer:

oak tree is a linear function and birch tree is exponential

Step-by-step explanation:

cuz i just did it

Answer 2

The oak tree have a liner function and the birch tree have exponential function .

What is linear function?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

What is exponential function?

An exponential function is a mathematical function of the following form:

f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

According to the question

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Number of Oak trees (x)                       Number of branches  f(x)

0                                                                     34

3                                                                     46

6                                                                    59

9                                                                    70

12                                                                   82  

So in this table we can see that there is increment in number of branches but in a pattern approx.

i.e

f(x) = 34 + 4(x)

where x will be Number of Oak trees

therefore it is a Linear function

Number of Birch trees (x)                         Number of branches f(x)

0                                                                       8

10                                                                    33

20                                                                   128

30                                                                   512

40                                                                 2049  

So , in this table is increasing in a very fast pace but in a pattern approx.

i.e

f(x) = [tex]8*4^{\frac{x}{10} }[/tex]

Therefore it is an exponential function

Hence, The oak tree have a liner function and the birch tree have exponential function .

To know more about Linear functions and exponential function here:

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Related Questions

Calculate the value of the expression 44-(5x4)

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

44 - (5 x 4) = 44 - 20

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V=lwh

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

if DB equal to 6 then look down at CE, it has the same distance as D to B so CE equal to 6.

9514 1404 393

Answer:

  CE = 10

Step-by-step explanation:

Assuming BC is parallel to DE, that segment divides the sides proportionally.

  CE/CA = BD/BA

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If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?

Answers

Answer:

700 feet per hour is the rate of descent

Step-by-step explanation:

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a.87 km
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c. 216 km
d. 33 km

Answers

Answer:

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Step-by-step explanation:

Since 8km is for 1 centimeter, we multiply 8 by 24 to find how many kilometers there are for 24 centimeters. 8 * 24 is 192 so B.) is your answer.

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Answer:

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Step-by-step explanation:

i know its long but i think it is correct!:)

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Answers

Step-by-step explanation:

11/4 then reduce

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Step-by-step explanation:

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Gabby makes banana bread at her bakery every Monday and Wednesday,
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5 cups of sugar for every 50 tablespoons of butter
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Complete that table to show the ratio of ingredients Gabby used to make her
banana bread.

Answers

Answer:

Monday:

Cups of Sugar: 3

Tablespoon of Butter: 30

No. of Bananas: 75

Wednesday

Cups of Sugar: 1.12

Tablespoons of Butter: 11.2

No. of Bananas: 28

How many solutions does this is have
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Answers

Answer:

All numbers are solutions. You can try this yourself by inserting numbers in.

Step-by-step explanation:

Prism A is similar to Prism B. The volume of Prism A is 540 cm.
What is the volume of Prism B? (determine scale factor first)

Answers

Answer:

1080

Step-by-step explanation:

540x2/ or 540 + 540

PQR is a right angled triangle calculate the size of angle marked x

Answers

Answer:

[tex]\displaystyle x \approx 37.4^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cosx^\circ = \frac{5.8}{7.3}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle cosx^\circ = 0.794521[/tex][Equality Property] Trig inverse:                                                                    [tex]\displaystyle x^\circ = cos^{-1}(0.794521)[/tex]Evaluate trig inverse:                                                                                      [tex]\displaystyle x = 37.39^\circ[/tex]Round:                                                                                                             [tex]\displaystyle x \approx 37.4^\circ[/tex]

133=7(1+2x) solve
Answer ASAP please

Answers

Answer:

x=9

Step-by-step explanation:

Step-by-step explanation:

133=7+14x

133-7=14x

14x=133-4

14x=129

14x=129

14 14

x=129

14

I really need help
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Answers

Answer:

-7 (3a - 5)

Step-by-step explanation:

Answer:

[tex] - 7(3a - 5)[/tex]

Step-by-step explanation:

you just have to factor out the common term 7.

What is the prime factorization of 91?

Answers

Answer:

The factors of 91 by prime factorization are 1, 7, 13 and 91. Here, 7, and 13 are the prime factors of 91.

Step-by-step explanation:

Sara was cliff jumping. She was on a cliff 25 feet above sea level. She jumped into the sea and descended a total of 37 feet. How many feet below sea level did she travel? Justify your reasoning.

Answers

Answer:

12 feets below sea level

Step-by-step explanation:

Initial height = 25 feets above sea levwl

Total descent = 37 feets

Distance traveled below sea level = 37 feets - 25 feets = 12 feets

Hence, Sarah traveled 12 feets below sea level

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Answers

Answer:

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Answers

Answer: 7m - 40

Step-by-step explanation:

Monday = m

Tuesday = m + 15

Wednesday = m + 15 + 30 = m + 45

Thursday = 2 × m = 2m

Friday = 2m - 20

The expression will now be:

= m + m + 15 + m + 45 + 2m + 2m - 20

= 7m- 40

What is the area of a square with side lengths of 3/5 units? Please explain how you know.

Answers

9/25

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Numerator x numerator.
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x=____​

Answers

Answer:

X = -1/10

Step-by-step explanation:

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The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.

Answers

Answer:

angles

1x

3x

5x

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9x = 180

x= 180÷9

x= 20

1x= 20

3x= 60

5x=100

angles are 20°, 60°, 100°

Step-by-step explanation:

hope it helps u

Which ordered pair is on the graph of the function? O (-1,2) O (6,-3) O (-2,-4) O (-6, 4)​

Answers

Answer:

(6, -3)

Step-by-step explanation:

PROBLEM SOLVING A math club is having a bake sale. Find the area of the bake sale sign
TT IS
SWEET!
412ft
Math Club Baka Ina this Saturday
729 ft
The area of the sign is square feet.

Answers

The area of the bake sale sign is 6 ft²

Area

Area is the amount of space occupied by a two dimensional object.

Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

The area of a rectangle = length * breadth

The area of the bake sale sign = length * breadth = [tex]\sqrt{4} *\sqrt[6]{729} = 6\ ft^2[/tex]

Find out more on Area at: https://brainly.com/question/25689052

What's the slope of the line

Answers

Answer:

-1/2  

Step-by-step explanation:

first point is 1,-4

second point is 5,-6

Slope is  y2-y1/x2-x1

-6 - -4 / 5 - 1

-2/ 4

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A parabola opening up or down has vertex (0,-1) and passes through (4,-2). Write its equation in vertex form

Answers

Answer:

ok

Step-by-step explanation:

5 - X = -6

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Answers

The answer is 11 I believe
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Evaluate the following algebraic expression, if (x = 5, y = 3)
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Answers

Answer: 47

Step-by-step explanation:

simply substitute the constants with 5 and 3.

(5)^2 + 9(3) - 5 = 47

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The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width

Answers

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards

0.92 repeating as a fraction
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Answers

Answer:

0.9222222222222222/1

Step-by-step explanation:

The airplane travels 1,650 miles in 3 hours. What is
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Answers

Answer:

550 miles per hour

Step-by-step explanation:

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The answer is 24w - 16u + 48
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