The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.

a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.

y = _______

b. Interpret the slope and y-intercept of the line of fit.

The Table Shows The Total Amounts Y (in Thousands Of Dollars) Of Money A Homeowner Saves On Electric

Answers

Answer 1

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

Find out more at: https://brainly.com/question/13911928


Related Questions

10 to the power of -2

Answers

Answer:

0.01

Step-by-step explanation:

your welcome :D have a good day pls mark me with the crown (whatever its called lol)

The answer could be -20 or (10)-2

work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)

Answers

the answer should be y=1/2x+2

The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X​

Answers

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

(3 * 7) + (2 * 5)
[tex](3 \times 7) + (2 \times 5)[/tex]

Answers

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3×7=21

2×5=10

21+10=31

Is -1/2 equivalent to - 1/2

Answers

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.

Answers

The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100

Answers

I believe it’s b, so sorry if I’m wrong

Can you please help I can’t play in my basketball game Tuesday if I can’t pass this !

Answers

Answer:

i think its 71.1 but idrk

basically i hope you're able to play game good luck man

help for this question, please and thanks​

Answers

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

Evaluate the expression for x = 5:

2•(x-2)^2+5​​

Answers

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

You will probably have to multiply

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Evaluate each expression for a=7,b=4,and c=-3.

3a-5b =________

7-3a+5a+15 =________

15a^2-17〖bc〗^2 =________

Pls help me

Answers

Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

                                                       =21-20

                                                       =1

7-3a+5a+15=7-3(7)+5(7)+15

                   =7-21+35+15

                   =-14+50

                   =36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

                         =105^2-204^2

                         =210-408

                         =-198

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

how to convert m to mm

Answers

You need to multiply the number that is needed to get to mm by 1000

Example: 4m x 1000 = 4000mm
or
4m ——> 4000mm

David walked for 20 minutes with the speed of 3 mph. How far did he walk?

HELP!!!

Answers

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer:

= 215008. 21 in²

Step-by-step explanation:

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

-a/6 + 7 = -14 I want to know how to do this

Answers

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

10 points, please fast !!!!!

Answers

Answer:

2/1 a improper fracrion 1/2 is a proper fraction

Step-by-step explanation: i just know those two sorry

Answer:

slope = 2

Step-by-step explanation:

slope is defined as change in y over change in x. for every +1 in the x direction, y receives +2. 2/1 = 2

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

Which of the following functions has a factor of x + 1?

f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39

Answers

Answer:

x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)

how do i find the x and y intercepts of y=2x^2+x-3

Answers

The y intercept for this equation is:
y=-3
Solve the equation: y=2x0^2+0-3

The x intercept for this equation is:
x=-3/2 (x=1)
Have a great day/night

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

Why is this wrong?? Trying to do test corrections

Answers

Answer:

See answer below

Step-by-step explanation:

  y = one time fee

  35x = hourly rate( hours worked)

  35x + y = $190

   y =  - 35x = 190

 

  $35 per hours ×  hours work and you did not used the total cost $190

Next time rewrite the sentence and translate into an equation.

The  customers service charges = one-time fee + hourly rate$ ( hours worked)

                                          190   =  y + 35(x)    point slope form

                                        - 35x + 190 = y

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Find the value of x and y and each labeled
angle.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

3x - 20° + 2x = 180°

(by linear pair)

now, let's solve for x ~

[tex]5x - 20 \degree = 180 \degree[/tex]

[tex]5x = 180 \degree + 20 \degree[/tex]

[tex]5x = 200 \degree[/tex]

[tex]x = 200 \degree \div 5[/tex]

[tex]x = 40 \degree[/tex]

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

[tex]2x[/tex]

[tex]2 \times 40 \degree[/tex]

[tex]80 \degree[/tex]

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

Hello I need A helping Hand

Answers

Hi!

The second gym has a higher joining fee because it is $50 rather than $30.

The first gym has a higher monthly rate because it is $15 rather than $10

Hope this help!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

The answer is A plot the points
Other Questions
what is a protein that recognizes and responds to a signal 8-844-8The dotted figure is a dilation of the solid figure. What is the scale factor?Can someone please help meeee!!!! Are large erganle melecules found in living things like proteins,carbohydrates, nuclele acids and lipids What would be most likely to happen to a plant that had working chloroplasts in its cells but had taken in a poison that kept mitochondria from working? (1 point)1.It would use its chloroplasts to do the work the mitochondria should have done.2.It would use the energy from the Sun to replace the energy provided by mitochondria.3.It would have a difficult time gathering enough solar energy during photosynthesis.4.It would not be affected since plants do not require mitochondria. A weather __________is the boundary between two air masses that differ in their temperature and moisture. * Evaluating reasoning quick check These are the right answers 1 a sound argument is sensible and valid 2 sound reasons are grounded in fact3 examining your emotional response 4 the background music 5 leashed digs are less likely to bother other dogs and humans BOOKMARK CHECK ANSWERoA2A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I 5. How could you use Kepler's 3rd Law to find the relationship between all of themoons of Jupiter? How are balances of power reflected in political boundaries and government power structures? If you can 4-6 Sentences please Consider the line y=-3x+3.Find the equation of the line that is parallel to this line and passes through the point (-4, 5).Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).Equation of parallel line:=3Equation of perpendicular line: If S = 1/2, what number does 4s equal? Plis no links i need help divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37 The reaction is at dynamic equilibrium.N2 + 3H2 2NH3Which statement is correct?(1 point)The solution has the same concentrations of nitrogen gas and ammonia.The solution has the same concentrations of nitrogen gas and ammonia.Nitrogen and hydrogen combine at the same rate that ammonia breaks down.Nitrogen and hydrogen combine at the same rate that ammonia breaks down.The solution has the same concentrations of nitrogen and hydrogen gases.The solution has the same concentrations of nitrogen and hydrogen gases.Both directions of the reaction have stopped.Both directions of the reaction have stopped. Pls help me answer this French assignment A store buys 14 sweaters for $154 and sells them for $448. How much profit does the store make per sweater? Why do students start to dye their hair and paint their nails? Question 1: DNA remains in the nucleus. mRNA can travel in and out of the nucleus. Explain how the function of DNA and mRNA differs. ( Will Mark Brainliest and please only answer if your company 100% sure. And Do Not Repost Someone Else's Answer that is on Brainly Or Any Other Websites Please. Why was half the city dark last night?