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 57.56
Use the values provided in the table to create a linear graph of the data. On the graph, let x = 0 represent the year 2004. Be sure to include all proper labels on the graph.

Answers

Answer 1

Answer:
55.44 inches
Step-By-Step Explanation
part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.
slope = m = (change in rainfall)/(change in years)
= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53
then the point-slope form of the equation of the line can be written as
y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)
y = -0.53x +62.33 . . . x = years after 2004
part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is
y = -0.53·13 +62.33 = 55.44 . . inches
the predicted rainfall in 2017 is 55.44 inches.

Answer 2

The linear equation that represents the table is [tex]y = -0.53x + 62.33[/tex]

What are linear functions?

A linear function is a graph that has a constant rate.

From the table, we have the following ordered pairs

(x,y) = (0,62.33) and (1, 61.8)

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2-x_1}[/tex]

So, we have:

[tex]m = \frac{61.8 -62.33}{1-0}[/tex]

[tex]m = -0.53[/tex]

The linear equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = -0.53(x -0) + 62.33[/tex]

Expand

[tex]y = -0.53x + 62.33[/tex]

Hence, the linear equation that represents the table is [tex]y = -0.53x + 62.33[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

Related Questions

please answer all even questions and if you get them right ill date you for 1 day girl or boy but please help

Answers

Answer:

#2 = 56.55 | #4= 25.13 |#6= 12.57 | #8= 56.55

Step-by-step explanation:

What is the area of the shaded region ?

Answers

Answer:

254.34 m

Step-by-step explanation:

since the formula is A= (pi)r^2

divide 18 by 2 to get the radius = 9

square the radius and get 81

then finaly just multiply 81 by 3.14 = 254.34

The area of the shaded region is the difference between the areas of the rectangle and the square.

Please help it's important
solve for x
in the picture

Answers

B

Free 5 points !

Which word does not belong?

• descubrir

•resolver

•platicar

•averiguar

ANSWERS

1.) C. platicar

2.) D. cuerpo

3.) C. a murderer

4.) B. closed

5.) B. to kill

The answer is A

5x-57=3x+5 Subtract 3x on both sides
-3x -3x
2x-57= 5 Add 57
+57 +57
2x= 62 Divide both by 2

X= 31

-20 points on a test and 4 problems are incorrect

Answers

Answer:

5 points each

Answer:

5 points

Step-by-step explanation:

it is 5 points

Eckert has $200 in his savings account. Eckert withdraws $5 per day. Bjorn has $20 in his savings account. Bjorn deposits $10 per day. How many days will it take before Eckert and Bjorn have the same amount of money in the bank?

Answers

Answer: 12 days

Step-by-step explanation:

Answer: 12 days
Step -by -step

Write the equation of this line in slope-intercept form

Answers

Answer:henenenen

Step-by-step explanation:

Bnenekekejeje sry this wasn't helpful I need points for this app

Answer:

y=1/2x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-2))/(2-(-8))

m=(3+2)/(2+8)

m=5/10

m=1/2

y-y1=m(x-x1)

y-(-2)=1/2(x-(-8))

y+2=1/2(x+8)

y=1/2x+8/2-2

y=1/2x+4-2

y=1/2x+2

A carpenter's tool box is made up of nails, screws, washers, and brackets in a ratio of 4:11:9:6. The total number of the pieces in the box is 60. If 5 carpenters have identical tool boxes, how many total washers are in the boxes?
A. 18
B. 48
C. 62
D. 90

Answers

Answer: D 90

Step-by-step explanation:

One way to do this follows: Find the ratio, r, which when multiplied by each of the four numbers in the ratio produces the actual number of parts present:

4r + 11r + 9r + 6r = 60

Summing these up results in 30r = 60, so r is 2.

There are 4(2), or 8, nails,

11(2), or 22, screws,

9(2), or 18, washers, and

6(2), or 12, brackets.

Note that 8 + 22 + 18 + 12 = 60 (total number of parts)

If 5 carpenters have identical boxes, there will be 5(18), or 90, total washers.

Answer:

Step-by-step explanation:

I did it too

Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model. What is the width of Yun's area model?

Answers

Answer:

DO YOU STILL NEED HELP?

Step-by-step explanation:

Answer:

x-2

Step-by-step explanation:

dividing 7x^2-14x by 7x we get x-2

What is the exact circumference of a circle with a diameter of 18cm?

Answers

Answer:

the answer is 56.55

Step-by-step explanation:

Answer:

C≈56.55cm

Step-by-step explanation:

help me
please and thank u

Answers

Answer:

Step-by-step explanation:

only 3d figures can have volume

Step-by-step explanation:

B. the amount of three dimensional space inside an airplane

stay safe healthy and happy .

Can you help if you don't mind?

Answers

Step-by-step explanation:

strato volcano 16.2

cinder cone volcano 35.1

shielded volcano 48.7

What they said ^^^
(btw Nicki Minaj is the queen of rap)

help please I ONLY HAVE TODAY

Answers

Answer:

1) it should be

[tex] \frac{1}{ {8}^{6} } [/tex]

2) To avoid making this mistake remember that when you subtract 4-10 you get -6 and you can't have a negative exponent so you have to move it to the denominater for it to be positive.

There are 6 boys and 8 girls in a classroom. What is the probability that the teacher randomly selects a boy

Answers

Answer:

3/7 is the probability that the teacher will randomly select a boy.

Hope this helps! :)

The probability that the teacher randomly selects a boy is 3/7

How to determine the probability?

The given parameters are:

Boy = 6

Girls = 8

The total number of students is:

Total = 6 + 8 = 14

The probability of selecting a boy is:

P(Boy) = 6/14

Simplify

P(Boy) = 3/7

Hence, the probability that the teacher randomly selects a boy is 3/7

Answers

Answer:

Step-by-step explanation:

Answer:

A. 0% B. Impossible

Step-by-step explanation:

The cube is only 1 through 6 6 is least than 10

In order to walk on the moon, all of the tools and equiipment are needed except:

oxygen tank and weighted boots

flashlight and radio

protective suit and radio

oxygen tank and flashlight

Answers

Answer:

flashlight and radio i think

Answer:

Oxygen tank and weighted boots

Step-by-step explanation:

You’ll need a oxygen tank to breathe or you’d most definitely suffocate and die. You’d use the weighted boots to help you walk and stay on the moon. Without them you’d probably fly off into space… and die. Anyhow, they’re ya go hope I helped! :)

An octagon has a perimeter of 28 units. What is the perimeter of the image of the octagon after the translation (x,y) → (x-7,y+ 6), a rotation 90 degrees clockwise, and a reflection across the y-axis?
A. 21 units
B. 34 units
C. 28 units
D. 196 units

Answers

Answer:

https://www.caverna.k12.ky.us/userfiles/110/Classes/7142//userfiles/110/my%20files/study%20guide%20answer%20key%20(1).pdf?id=4059

Step-by-step explanation:

copy and past this pdf

The perimeter of the image of the octagon is 28 units

The perimeter of the octagon is given as:

p = 28 units

The transformations are given as:

Translation (x,y) → (x-7,y+ 6)Rotation 90 degrees clockwiseReflection across the y-axis

The above transformations are rigid transformations, and they do not change the side lengths of the octagon.

Hence, the perimeter of the image of the octagon is 28 units

Answers

the believe the answer is 1085.78. i apologize if it’s wrong.

Your answer is 1085.75

What is the value of F ?

Answers

Step-by-step explanation:

110+ f =180

f = 180-110

f=70

Answer:

here is your answer......

Step-by-step explanation:

f plus 110=180 ( because being straight line)

or; f= 180-110

or; f=70

therefore,f=70

the value of f is 70 degree

How many edges does the solid have

Answers

Answer:

Step-by-step explanation:

it has twelve :))))))))

1. Kamar’s bedroom is shaped like a rectangle that is 16 feet long and 12 feet wide. He wants to put carpet on the floor of the entire room. How many square feet of carpeting does he need? *

A. 28 feet
B. 28 square feet
C. 192 feet
D. 192 square feet

Answers

Answer:

The answer is D.192 Square Feet because you would multiply 12*16 and you would get 192

Step-by-step explanation:

What is the range of possible sizes for side x?

Answer correctly and I will give you brainlist

Answers

Answer:

1.3 < x < 6.7

Step-by-step explanation:

minimum

4.0 - 2.7 = 1.3

maximum

4.0 + 2.7 = 6.7

-------------------------

1.3 < x < 6.7

Not sure sorry

Explanation:

ok ppl i have a lot of missing Assignments so pls do not take my points and i will report any unnecessary comments

Answers

Answer:

Emancipation Proclamation, Reconstruction, secession, equal protection, due process

Step-by-step explanation:

Yes the answer above me is right I have done this worksheet and I got them all right from this

Hurry Need Help I Will Give Brainliest!!

Answers

Congruent is the answer

please help now i need this quick

Answers

Answer:Step-by-step explanation:

Answer to number 4 is Likely or certain

for second is likely or certain i’m not sure about the first one

What is the length of a diagonal of a cube with a side length of 3 cm?

Answers

Answer:

18 cm

Step-by-step explanation:

Answer:

= 27 cm cube

Step-by-step explanation:

pls help me find the volume of the triangular prism

Answers

Let's find the area of the triangle first:

2 x 5 = 10, 10 divided by 2( x 1/2 ) = 5

5 x 4(width) = 20

Formula of area of a Triangle:

BH x 1/2

(base) x (height) x 1/2(basically just dividing by 2)

PLS HELP, WILL REWARD BRAINLIEST !!

Answers

Answer:

what's the question because all I see is the graph

B I believe is the answer

SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR YOU WILL BE REPORTED, I WILL GIVE BRAINLIEST!!!!!

Plss show your work and give an explanation

using the DISTANCE FORMULA, determine the distance between the points...

Answers

Answer:

C) 4 to the right

D) 11.7047

Step-by-step explanation:

C) d=√(1−(−3))^2+(4−4)^2

d=√(4)^2+(0)^2

d=√16+0−

d=√1–√6

d=4

D) d=√(−3−8)^2+(−6−(−2))^2

d=√(−11)^2+(−4)^2

d=√121+16

d=√1–√37

d=11.7047

This should be the right way to show the work, hopefully this helps :)

15. What is an ARRAY?

16. The part of the solar panel that generates electricity is made of ______.

Answers

Answer:

An arrangement of objects, pictures or numbers in row and columns is called an ARRAY

an arrangement of pictures, objects, or numbers in a row and columns

In your own words, what is a interquartile range?
REWARDING BRAINLY

Answers

Answer: The range of the medians of the numbers left and right of the median of the entire data set.

the variable's spectrum of values in a statistical distribution between the upper and lower quartiles.

Other Questions

The Caudell family went out to dinner. Iftheir dinner bill came to $52.50 and theypaid $61.95, what percent of a tip did theyleave their waiter?A. 18%B. 15%C. 20%D. 16.5% PLS SHOW WORK ON HOW YOU GOT IT PLS I BEG. pls help me pass my finals!! What is the value of x when y has a value of -9 ? -3x = y + 51A) -20B) -14C) 14D) 20 Which triangle isn't similar to QRS? solve these plz10 points for these plz solve |3t 9| = 3 Step by step An extremely fast-moving charged particle traveling in a magnetic field can radiate X-rays, a phenomenon known as synchrotron radiation. Why is the magnetic field essential to this emission By the end of 1862, the collapse of the Souths ______________________, the ______________________, and the presence of ______________________ led to severe ______________________. True or False: In Microsoft Word, the Copy, Cut and Paste options are in the HOME screen It would be nice if somebody could help me! (I'm trying to give out points!) Solve the trigonometric equation on the interval of [0,2) below:[tex] \large{cos(2 \theta + \frac{ \pi}{3} ) = \frac{ \sqrt{3} }{2} }[/tex]Show your work, thanks! What is the y-intercept of the line shown below? Enter your answer as acoordinate pair. Help!!!!! Flow Company has provided the following information for the year ended December 31, 2019: Cash paid for interest, $22,500 Cash paid for dividends, $6,500 Cash dividends received, $4,500 Cash proceeds from bank loan, $34,000 Cash purchase of treasury stock, $13,500 Cash paid for equipment purchase, $29,500 Cash received from issuance of common stock, $39,500 Cash received from sale of land with a $34,500 book value, $27,000 Acquisition of land costing $53,500 in exchange for preferred stock issuance. Payment of $125,000 note payable by exchanging used machinery with a $79,500 book value and $125,000 fair value How much was Flow's net cash flow from investing activities (04.06 LC)The first four terms of a sequence are shown below:8, 5, 2, -1Which of the following functions best defines this sequence? (5 points)f(n) = - 3(n-1) +8; for n 2 1O f(n) = 3(n-1) +8; for n 2 1O f(n) = - 5(n-1) +8; for n 2 1f(n) = 5(n-1) +8; for n 2 1 What is the area of the white border? 40 POINTSPleaseee help, I need to turn this in soon. Who painted the image above? A large region that has a particular type of climate that effectively influences the types of plants and animals that inhabit each ecosystem is Who said the following quote: C'est incroyable. Mais Athens est my ville prfre.JakeSummerThe Museum GuardThe Bus Driver