Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?

Answers

Answer 1

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ([tex]y = \frac{3}{4}x + 2[/tex])

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Answer 2

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

[tex]y=\frac{3}{4}x+2[/tex]

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Learn more : brainly.com/question/20816424


Related Questions

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Answer:

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Step-by-step explanation:

Answer:

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A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers

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Answer:

66.666%

Step-by-step explanation:

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Cara deposited $200 dollars into her savings account bringing her balance up to $450.

Which equation can be used to find, x, the savings account balance before the $200 deposit?

Answers

Answer:

$250 dollars was the original amount of money before she deposited the extra $200 dollars.

Step-by-step explanation:

450 - 200= $220 dollars

220+200= $420 dollars

220+30= $250 dollars

250+200= $450 dollars

$250 dollars is the total amount of money that was originally deposited into her savings account.

Answer:

x + 200 = 450

Step-by-step explanation:

Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is

you had no answer choices so typed it out i have the same question on my test and i knew the answer so i decided to help :D :) <3

the one mile race is equal to how many feet

Answers

                                 Your answer to this question

                 ✿                     1 Mile = 5280 feet                  ✿

Write -2(pi)/9 in degrees.

Answers

Answer:

-40 DEGREES

Step-by-step explanation:

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Answers

Answer:

-1/2 > x > -3

Step-by-step explanation:

i)

-2x+3>4

-2x> 1

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ii)

-2x+3<9

-2x<6

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= -1/2 > x > -3

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation StartFraction 1 over 7 EndFraction (105 + r) = 20 represents the situation. Which describes the solution, r, to this equation?
The solution is 5, which represents the number of miles she runs each day.
The solution is 5, which represents the number of miles she runs each week.
The solution is 35, which represents the number of miles she runs each day.
The solution is 35, which represents the number of miles she runs each week.

Answers

Answer:D :)

Step-by-step explanation:

TRUST ME

Answer:

D

Step-by-step explanation:

I just did the quiz on edge 2020-2021

Priya has picked 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?

Plz answer quick needed for quiz

Answers

Answer:

2/3 cups

Step-by-step explanation:

Using unitary method we get the ans as 2/3.

PLEASE HELP PLEASE
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Answers

Answer:

No matter if you are on Earth, the moon or just chilling in space, your mass does not change. But your weight depends on the gravity force; you would weigh less on the moon than on Earth, and in space you would weigh almost nothing at all. Where ever you are, your mass will always stay the same.

Answer:

50 kilograms

Step-by-step explanation:

Mass never changes, and is constant everywhere. The weight is what changes. If you weigh 50 kg on Earth, you'll weigh 50 kg everywhere else in the universe. That's because the amount of matter in you cannot change.

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A. No, there are yvalues that have more than one x-value.

B. Yes, there are no yvalues that have more than one x-value

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D. no the graph fails the vertical line test

Answers

Answer:

D. no the graph fails the vertical line test

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Answers

Answer:

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Step-by-step explanation:

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Answers

Y=-1/2x+2 is the correct answer in slope intercept form:)

Answer:

y = -1/2x + 2

Step-by-step explanation:

Let the equation of the green line be y = mx + c

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m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)

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2 = c

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Answers

Answer:

la respuesta es 80 pesos espero que te ayude

I need help ASAP (10 points)

Answers

Answer:

180

Step-by-step explanation:

Answer:
180

Explanation:
Both triangles are 90 degrees so you would 90+90= 180

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Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

start at one then start counting backward from one

1, 0, -1, -2, -3, -4

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Answers

Answer:

Linear pair

Step-by-step explanation:

Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.

Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.

Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.

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The question is on the image below

Answers

Answer:

Step-by-step explanation:

1). Let the equation of a line is,

   y = mx + b

   Here, m = slope of the line

   b = y-intercept

   From the graph attached,

   Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{1}{4}[/tex]

   y-intercept = -2

   Equation → y = [tex]\frac{1}{4}x-2[/tex]

2). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}[/tex]

   y-intercept 'b' = -3

   Equation → y = [tex]\frac{3}{4}x-4[/tex]

3). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}[/tex]

                                 = [tex]-\frac{20}{3}[/tex]

    y-intercept = 5

    Equation → y = [tex]-\frac{20}{3}+5[/tex]

4). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}[/tex]

    y-intercept = 4

    Equation → y = [tex]-\frac{1}{2}x+4[/tex]

5). Since, line is passing through origin (0, 0)

    y-intercept = 0

    Slope = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}[/tex]

    Equation → y = x

6). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}[/tex]

    y-intercept = -4

    Equation → y = [tex]\frac{1}{4}x-4[/tex]

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Answers

Answer:

4 3/8

Step-by-step explanation:

1 1/4 * 3 1/2

Answer:

9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

So when it says he biked 3[tex]\frac{1}{2}[/tex] ur suppose to add it 3 times then u add the both ones on the top and u get 2 then the answer u get is either 9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{2}[/tex]

There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?

Answers

Answer:

4/9

Step-by-step explanation:

20+16= 36 total shapes. 16/36 simplifys to 4/9.

The simplest ratio of triangles to total shapes is 4:7.

Given that the number of squares=20 and the number of triangles=15.

The total number of shapes=20+15=35.

We need to find the simplest ratio of triangles to total shapes.

What is the ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, triangles: total shape=20:35

=4:7

Therefore, the simplest ratio of triangles to total shapes is 4:7.

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Garret bought 7 bags of apples. The red Apple came in bags of 5 and green came in bags of 2. Garret bought a total of 17 apples. How many of each type of apple did he buy.

Answers

Answer:

6 green apple bags and 1 red apple bags

Step-by-step explanation:

6 green apple bags = 12 apples

1 red apple bag= 5 apples

12+5 =17 apples

6+1= 7 bags

Answer:

1 bag of red and 6 bags of green apples.

Step-by-step explanation:

We need to pick 7 bags of apples of different sizes so that the total number of apples = 17.

If  Garret bought 1 bag of 5 then the other 12 apples would have to come in 6 bags.

That is 6 bags of 2 apples.

before unlimited talk and text, bonnie used to pay $40 per month for her cell service, plus $0.10 for each text message she sen. One month, bonnie had a $76.50 cell phone bill. Write and solve an equation or inequality to determine how many text messages bonnie sent that month.

Answers

Answer:

Step-by-step explanation:

0.1 x + 40 = 76.5

0.1x = 36.5

x = 36.5 ÷ 0.1 = 365

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Answers

He walked 387 Bc u multiple

Six ice cream cones cost $16.50. At this rate, how much do 2 ice cream cones cost?

Answers

Answer:

$5.50

Step-by-step explanation:

One icecream cone costs $2.75, so two would cost $5.50.

Answer:

$5.5

Step-by-step explanation:

--Use division

16.50 ÷ 6 = 2.75

--Then multiplication

2.75 x 2 = 5.5

It costs $5.5 to buy 2 ice cream cones.

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Answers

Answer:

the answer is -3 I just took the test and got 100%

Answer:

-3

Step-by-step explanation:

Answer is correct from plato, other guy is right too.

What is the value of the expression?
- 16+ 12
0-28
-4
4
O 28

Answers

-4 , when u add a negative to a positive u move up not down.

Pythagoras theorems
Question 7

Answers

Answer:

i think the answer is 16/3

Enter the number that makes the equation true

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Consider these three squares with known area 25, 144,169

Answers

Answer:

Step-by-step explanation:

three squares with known area 25, 144,169...

1) area of the square =25

Side ×side=25

Side^2=25

Side=√25

Side =5.

Answer is 5.

2) area of the square =144

Side ×side=144

Side^2=144

Side=√144

Side =12

Answer is 12.

3)area of the square =169

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Side^2=169

Side=√169

Side =13

Answer is 13.

The function f(t) = 9600(1.95) 36 represents the change in a quantity over t days.
What does the constant 1.95 reveal about the rate of change of the quantity?

Answers

Im really not sure

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

growing , 95, year

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