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

What is the value of P ?

Answers

Answer:

p=28.3

Explanation:

75.8-47.5=28.3

P=28.3 i hope I helped <3

If Madi deposits $40 more in her bank account this week, she'll then have $162.
How much money does he have to start out with this week?
Choose the equation that correctly models this situation.

m + 162 = 40

40m = 162

m - 40 = 162

m + 40 = 162

Answers

Answer: How might those words apply to what has been outlined in this lesson? ... Suppose that $1,,000 is deposited into an account that yields ... How much money will be in ... Barbara wants to restore her'66 Mustang in 4 years. She puts ... He deposits $100 ... b. Write the future value function if x represents the number of weeks.

Step-by-step explanation: how are you?

Answer:

M + 40 = 162

Step-by-step explanation:

if M is the original amount of money Madi has and she adds 40, Then she would have 162.

What is the area of a right triangle with
sides of 6 feet, 8 feet, and 120 inches?

Answers

Answer:

24

Step-by-step explanation:

Answer:

Area is 24 feet. Tell me if im wrong

Step-by-step explanation:

I’ll mark as brainliest if correct, thanks!

Answers

Answer:

1. (J+s)÷2

2. (C·4)+i

3. (M+a)4

4. G-125

Step-by-step explanation:

I will appreciate a quick answer

Answers

Answer:

∠SRQ = 75º, ∠TQR = 75º, ∠TSR = 105º, ∠STQ = 105º

Step-by-step explanation:

Since the quadrilaterals are similar, their corresponding angles are the same.  

Point M (2,4) was dilated to M'(9,18). What was the scale factor, and was the dilation an enlargement or reduction? Please hurry! this is due tomorrow ​

Answers

Answer:

the scale factor was 9/2 or 4.5

please mark brainliest <3

i need help please help please and friend me

Answers

Complimentary, Non Coordinatry
1) complimentary angles
2) non coordinatry angles

Can you please help as soon as possible?

Answers

the first one is A!

3x=x+30
2x=30
x=15

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:

Someone help immediately please!

Answers

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

Step-by-step explanation:

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

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

the first image is the question the second is the answer, and i need the in between of how the heck do i do this. the final is tmrw please help!

Answers

Answer:

Step-by-step explanation:

sir in the graph every point is (X,Y) so you should choose consecutive random numbers for the X values for the first point after that put the values you choose In the equations so now you have just numbers in the equation .. add, subtract and multiply at the end you will get a value .. ok this Y for the first point .. mark this point on the graph and continued this process until it reached at least 3 points, and connected between them.

Note : do this with each equation separately and do not connecte between two points for two different equations

the equation with x will become as line

the equation with x² will become as arch

after you finsh drwaing see the points that the tow equation are touching within and write them. Usually it is two points

Step-by-step explanation:

First, set the equations as equal to eachother because both equal y:

[tex]x^2-6x-7=x+1[/tex]

Now, solve to get everything on one side of the equation so that the other side of the equation is set to 0:

[tex]x^2-7x-8=0[/tex]

Now use the sum product pattern:

[tex]x^2+x-8x-8[/tex]

(as you can see, the above equation is equivalent to the previous equation, but there are now four values instead of three)

Now take the common factor from the two pairs:

[tex]x(x+1)-8(x+1)[/tex]

Rewrite in factored form:

[tex](x-8)(x+1)[/tex]

Now to get both values of x, set each factored equation to 0 and solve for x (becuase remember, the equation still equals 0):

[tex](x-8)=0\\x=8[/tex]

[tex](x+1)=0\\x=-1[/tex]

NOW that we have both values of x, we can subsitute them into EITHER equation and solve to get the corresponding y values:

[tex]y=(8)+1\\y=9[/tex]

[tex]y=(-1)+1\\y=0[/tex]

So that's how we solve to get these coordinates: (8,9) & (-1,0).

Good luck on your final and I hope I was able to help :)

An artist uses four distinct colors in his latest painting–red, blue, green, and yellow–
with ounces used in a ratio of 10:22:4:18, respectively. The artist used a total of 189 ounces
of paint to complete the piece. How many ounces of blue paint did he use?
A. 59
B. 65
C. 68
D. 77

Answers

Answer:

D, 77

Step-by-step explanation:

Answer:

pp

Step-by-step explanation:

help meh it is line plots just help me .I will mark brainliest

Answers

the answer is B sir

Can I get some help?

Answers

Answer:

A

Step-by-step explanation:

8x (the babysitter gets paid 8 dollars an hour, and x represents number of hours)

3 (this is the additional tip the babysitter gets; it's not dependent on the number of hours she/he works)

The babysitter will get paid the same despite babysitting two kids- no variable here is dependent on the amount of kids the babysitter babysits.

Answer:

A) 8x + 3

Step-by-step explanation:

The babysitter gets 8 dollars per hours, and x is the hours, so 8x, 8 dollars per hour. She also gets 3 dollars if she gets the children to sleep on time, so add 3. The equation is 8x + 3.

HEYY:) HELP TY LUVSSS

Answers

W=8 A=1 R=1 D=3 Hope this helps:)

Answer:

W = 8 A = 1 R = 2 D = 3

Step-by-step explanation:

Very Simple as you just have to follow the pattern, W is multiples of 2, A is repeating 1, R is counting up with 0s inbetween each number, and D is counting up from 0.

Find surface area of the prism. Thanks.

Answers

Answer:

323 yd

Step-by-step explanation:

7 x 7 x 7

49 x 7

323

so its 323 yards

I’m not a expert but I thinks it’s 323 yd

Hurry I Will Give You Brainliest!!

Answers

for question 1, Angle ABC combines to form angle ABD

for question 2, it’s literally addition. 40 + 25 = 65

for question 3, it’s just subtraction. 70 - 45 = 25.

hope this helps!

lol plz help again I am horrible

Answers

Answer:

Since there are 6 apples in the salad, there are 4 pears (6:4 = 3:2), and so there are 5 peaches.

Find area and circumference of the circle please!! I need help!!! :(

Answers

Answer:

radius r = 12 in

diameter d = 24 in

circumference C = 75.3982237 in

area A = 452.389342 in2

Step-by-step explanation:

Radius r is 12 and diameter is 24

Kelly collected $15, $15, $25, and $29 in the last 4 donations for the class fundraiser. The mean of the donations is _____?

Answers

Answer:

21

Step-by-step explanation:

To find the mean, add up all the numbers

15+15+25+29 =84

Divide by the number of numbers

84/4 = 21

21
15+15+25+29=84
84/4=21

What is the value of k?

Answers

Answer:

[tex]( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12[/tex]

Answer:

Step-by-step explanation:

a² + 2ab + b² = (a + b)²

2ab = 2 * x * 8 = 16x

x²  + 16x + 64 = x² + 2* x * 8 + 8²  

                      = (x + 8)²

x² + 16x + 8 - (x +8)(x - 4) = (x+8)² - (x+ 8) (x -4)

                                        = (x +8)(x +8) - (x + 8)(x - 4)

(x +8 ) is common in both terms

                                        = (x + 8) [ (x + 8) - (x - 4) ]

                                        = (x + 8) [ x + 8 - x + 4 ]  

{Combine like terms. so x + (-x ) = 0   and 8 +4 = 12}

                                         = (x + 8) [ 12]

k = 12

please help now i need this quick

Answers

Answer:

7 is c because add up everything then make a fraction and 8 is C because 28÷2 is 14

7 is going to c and for 8 the answer is going to be 28/2 which ends up being 14

***** NO LINKS******

Answers

Answer:

1 inch = 80 miles

Step-by-step explanation:

4 and three quarters = 4.75

380 divided by 4.75 = 80

Double check and multiply 4.75x80

4.75 x 80 = 380

The answer is C no time to explain

- 7th Grade Work -

Please answer if it's a, b, c, or d.

Please help ; - ;

Answers

Is would be a I think because if you times those to numbers you get 20

Answer:

D. 2x + 5

Step-by-step explanation:

Let’s solve: 6x - 4x + 5

1) collect like terms:

(6-4)x + 5

2) subtract:

Our answer: 2x + 5

And that’s it! Hope this helped, have a good day!

PLEASE ANSWER I WILL GIVE BRAINLIEST!! (trolls get banned)

Answers

Answer:

LMK is 30  

Step-by-step explanation:

inside the triangle, the LMN is the equation 3x=90degrees

under the KN is 4x

on the left is 150dgrees = 5x

3x+4x+5x=360

add the x's together

12x=360

divide

x=30

LMK= 150-90/2=60/2=30

please help!! giving brainlest if explained thank you

Answers

Answer:

The more distance gone the more time it takes

Step-by-step explanation:

the distance increases when the time increases meaning the longer you go the farther you go

Answer:

If this is the speed unit, then the answer is that the object is slowing down

Step-by-step explanation:

It is slowing down because as you can see, the line is more flat and when you read the labels, you can see that the object takes more time to move a distance than it originally did.

Just a quick answer :)

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

Read more about probability at:

https://brainly.com/question/25870256

#SPJ6

58. A standard six-sided die is rolled.
What is the sample space of numbers rolled?

Write your answers on the same line, and separate your answers with commas.

Answers

Answer:

6

Step-by-step explanation:

total number of outcomes is 6 (1,2,3,4,5, or 6) so sample space is 6

A deck of cards is laying face-down on a table. You pick 3 cards. What is the probability that all three cards are Kings?

Answers

Answer:

2.84%

Step-by-step explanation:

2.84 is the answer your looking for
Other Questions
How did the Homestead Act help settle the west?Granted farmers landGranted farmers seedsBuilt free homes for farmersBought farmers crops A 0.200 M solution of a week acid, HA, is 9.4% ionized. The molar concentration of H+ is 0.0188 M. the Acid-dissociation constant, Ka, for HA is...? For a long time, Haydn's music was regarded as genial and lively, and much of its depth, wit, and brilliance went unnoticed. This was because only a few of his compositions were performed regularly at concerts. Nowadays, however, much more of Haydn's music is being performed, and the extraordinary range of his achievement is being recognized. Nonargument Argument; conclusion: Nowadays ... being performed. Argument; conclusion: The extraordinary range ... is being recognized Argument; conclusion: For a long time ... went unnoticed. Argument; conclusion: Only a few of his compositions ... at concerts What's the Democratic GI = 6, HI = 8, DT = 12, what is IE?a.12b.16c.8d.4 Exercise II,please(SI Conditionnel). The Oregon Trail is 2,197 miles long. How long would it take a covered wagon traveling 20 miles a day to complete the trip? Hint Round to the nearestones place Answer these questions please Using Trig to Find Angles 4. The Constitution of the United States was written.O E. 1803O C. July 4, 1776O D. 1787O A. 1607O B. 1620 Which of the following items is an implicit transaction? Recognizing a gain on the sale of equipment Recording payment of monthly interest on loan Recognizing impairment on an intangible asset Recognizing deferred revenue through delivery of goods What are the different ways that people compare impact in debate? Roster Co. adjusts its Allowance for Doubtful Accounts at year end. The general ledger balances for the Accounts Receivable and the related allowance account before adjustment were $1,500,000 and $45,000, respectively. Roaster estimates its necessary balance in its Allowance for Doubtful Accounts as 4% of the Accounts Receivable balance. What amount should Roaster record as an adjustment to its Allowance for Doubtful Accounts at year end , 11''' E t? 1144 at15) Which is the solution of the system of equations shown in the graph? 7th grade ela help me pleaseeee Find the value of x. Each day, the seals at an aquarium are fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 400 pounds. PLSSSssss HELP!!!!!!!! The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.9 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)