For the past ten years, Michelle has been tracking the average annual rainfall in Boynton Beach, Florida by recording her data in the given table. She has concluded that the relationship can be modeled by a linear function. Year 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Average Rainfall(in inches) 62.33 61.8 61.27 60.74 60.21 59.68 59.15 58.62 58.09 57.56Use the values provided in the table to create a linear graph of the data. On the graph, let represent the year 2004. Be sure to include all proper labels on the graph.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A linear function is a function in the form y = mx + b, where y and x are variables, b is the y intercept (value of y at x = 0) and m is the slope (rate of change).

Let x represent the year and y represent the amount of rainfall in inches. The linear function can be gotten by selecting any two pair of points from the table in the form (x, y).

Let us use the points (2004, 62.33) and (2007, 60.74). The equation is gotten using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-62.33=\frac{60.74-62.33}{2007-2004}(x-2004) \\\\y-62.33=-0.53(x-2004)\\\\y-62.33=-0.53x+1062.12\\\\y=-0.53x+1124.45[/tex]

The graph is plotted using geogebra.

For The Past Ten Years, Michelle Has Been Tracking The Average Annual Rainfall In Boynton Beach, Florida
Answer 2

The average rainfall from 2004 to 2013 is 59.945

Given data of rainfall:

2004    62.33

2005    61.8

2006    61.27

2007    60.74

2008    60.21

2009    59.68

2010    59.15

2011     58.62

2012    58.09

2013    57.56

what is the average value?

it is the sum of all the observations divided by the total number of observations.

average rainfall A

(62.33+61.8+61.27+60.74+60.21+59.68+59.15+58.62+58.09+57.56)/10

A= 59.945

thus, the average rainfall from 2004 to 2013 is 59.945

to get more about the average visit:

https://brainly.com/question/20118982

For The Past Ten Years, Michelle Has Been Tracking The Average Annual Rainfall In Boynton Beach, Florida

Related Questions

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Answers

Answer:

the top option

Step-by-step explanation:

solve 4x - 2 = 10 and you get

4x = 12

x = 3

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Step-by-step explanation:

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Answers

Answer:

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Work:

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Answer:

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PLEASE I NEED HELP URGENTLY
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Answers

Answer:

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Step-by-step explanation:

Hope this helps

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

The answer of the addition is;

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Answer:

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Answers

Answer: C. x + y = y + x

Step-by-step explanation:

Answer:

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Step-by-step explanation-

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Answers

Answer:

$11.25

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Answer:

11.25

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Answer:

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The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?


1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.


2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.


3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.


A) I only

B) II only

C) III only

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Answers

Answer:

D) I and II only

Step-by-step explanation:

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Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?

Answers

Answer:

Arlo's weight = 52.3 kg

Explanation:

Let Arlo be "x"

Then,

Arlo = x

Bert = x+20 (Because Bert is 20 heavier than Arlo)

Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)

Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)

Average = 57

Step by step Calculations:

57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex]  (The whole divided by 4 because the total people is 4)

57*4   =  x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]

228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]

228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]

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You are kayaking at a pace of 63 feet every 12 seconds. Your friend's pace is 21 feet every 2 seconds. Are you and your friend kayaking at the same pace? If not, who is faster?

Answers

Answer:

Your friend is kayaking faster.

Step-by-step explanation:

The way to approach this answer is by putting one of them in terms of the other. So that both are in terms of the same time. If you kayak 63 feet in 12 seconds how many feet do you kayak in 2 seconds? Simply divide by 6. 63/6 = 12/6. So, in 2 seconds (12/2) you kayak 10.5 feet (63/6). But your friend kayaks 21 feet in the same time... so he's going faster.

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.​

pasagot naman mga prii

Answers

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

For more information please refer to the link  given below

https://brainly.com/question/17948320

PLEASE HELP ME! Suppose $800 can be invested either at 5% simple interest per annum or at 5% interest per annum, compounded annually. Using two tables of values and a single graph, compare the amounts for each type of interest after each year for the first five years. Be sure to show all the calculations used to obtain your answers. Also, provide explanations to clarify the information presented in the tables and in the graph.

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Answer:

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Step-by-step explanation:

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