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.

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.

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Related Questions

The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Answers

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244 ---------------(I)

a = 244 - c ----------(II)

Cost for 244 people = $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

-2c = 1078 - 1464

-2c = -386

c = -386/-2

c = 193

a = 244 - 193

a = 51

Which is the graph of f(x) = 5(2)"?

Answers

Answer:

AWKT

5 × 2 = 10

x=10

y=0

(10,0)

Please help!!

Find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

rise over run is 2/1 and y is decreasing as x is increasing so its negative

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.

Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?

10
15
100
150

Answers

Answer:

The correct answer is A: 10

Step-by-step explanation:

Same Question : https://brainly.com/question/17110602

Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year

Answers

Answer: revenue from last year 20n

number of cards sold this year if students sell 200 more cards than last year n + 200

revenue this year if student sell 200 more cards than last year 20(n + 200)

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.

1.) Revenue from last year

Revenue = Number of tickets sold last year × Cost of each ticket

= n × $20

= 20n

2.) Number of cards sold this year if students sell 200 more cards than last year

Number of cards sold this year = Number of tickets sold last year + 200

= n + 200

3.) Revenue this year if students sell 200 more cards than last year

Revenue this year = Number of cards sold this year × Cost of each ticket

= (n + 200) × 20

= 20(n+200)

Learn more about Expression here:

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#SPJ2

How do I do this? geometry

Answers

Answer:

B. b = mt/v

Step-by-step explanation:

b/t = m/v

bv = tm

b = tm/v

marciano has 85 dollars to spend at a fair he spends 30 on admission and 12 on snacks he wants to plag a game that costs 1.50 per game write an inequality using a variable to find the maximum number of times Marciano can play the game using the inequality determine the maximum number of times he can play the game

Answers

Answer: 28.666666666666667

Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667

A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?

Answers

Answer:

Below.

Step-by-step explanation:

1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.

In the same way there are 7 * 4 = 28 grapefruit.

Total pieces of fruit = 12 + 28

= 40.

Anyone wanna hope on a meet

Answers

Answer:

yes I would like to hope on a meet that will be fun

Help!

How do you find the change in the output value and the change in the input value, in a table?

Thank you, I just need simple instructions :)

Answers

Answer:

You can use ratio to compare the input and output

Step-by-step explanation:

solve the following equations step by step

x + 7 = 4

Answers

[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

[tex]x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11[/tex]

Since your answer is ' 11 '

♡ hope it was helpful for you ♡~

Answer:

Thank you for points

Step-by-step explanation:

Thank you

Can I get steps to solve this?

Answers

Answer:

8 and 1/2 pints

Step-by-step explanation:

4.25 cups/ 1 × 2 pints/ 1 cups

= 4.25 × 2 pints

= 8.5 pints

8 and 1/2 pints

A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?

Answers

The number of cells which have been cut into two parts is approximately ; 72 units

According to the question;

The rectangle has dimensions 60 units x 40 units.

Provided a cell of the grid is 1 unit * 1 unit.

When a diagonal of the rectangle is drawn;

The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.

Diagonal, D² = 60² + 40²

D² = 3600 + 1600

D² = 5,200

D = √5200

D = 72.11 units

Answers

Answer:

Step-by-step explanation:

simplify the ratio 4 : 0.5

Answers

Answer:

8:1

Step-by-step explanation:

solve for E, in S=E^2/Z

Answers

Answer:

E = √(SZ).

Step-by-step explanation:

S=E^2/Z

Multiply both sides by Z:

SZ = E^2

E = √(SZ)

what would this one be?

Answers

Answer:

I believe it's 6/10

Step-by-step explanation:

3/5 times 2 = 6/10

Tim bought 3.6 pounds of flour for a cake and paid $8.50. What was the cost per pound?

Answers

Answer:

$2.36

Step-by-step explanation:

To find the price per pound is super easy. Just divide the price by the given pounds:

8.50/3.6=2.361=$2.36

Hope This Helps!

A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal.

Answers

Answer:

it will take 5 years for them to be equal

Step-by-step explanation:

1st year they will be 22-18

2nd year they will be 24-21

3rd year they will be 26-24

4th year they will be 28-27

Finally the 5th year they will be 30-30

simplify (3x^2y3)^3 / x3

Answers

Ok done. Thank to me:>

A non-proportional timetion is represented by y-2x.
7 which table represents this function?
с
3
4.
A
13
15
17
9
12
16
4
79
15
D
B
im
4
3
2
9
23
30
13
4.

Answers

Answer:

The numbers appear random. Are there two columns? I can't decipher the list.

Step-by-step explanation:

Plot the function and see if any of the points fall on the line. See attachment.

Is the function y-2x = 7 ?? { I see y-2x.7}

y = 2x + 7

which of the following has factor of (× - 4) (× - 3)?

Answers

Answer:

Hello!

After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:

x²-7x+12

Step-by-step explanation:

This is my work:

Find the value of x that makes m//n (2x+20)

Answers

Answer:

Step-by-step explanation:

uvuctxtxyvuvigh ufydigifyds6dgbjj

what is the value of (1/16)^-1/4

Answers

Answer:

4^-5

Step-by-step explanation:

(1/16)^-1/4

(1/4)^4-1/4

4^-4-4^-1

4^-5

solve pls brainliest

Answers

Answer:

$200

Step-by-step explanation:

Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.

You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.

The question asks for the value after two years, so you must double this to $200.

The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.

Which of these sets of ordered pairs satisfies and expertise equation

Answers

Answer:

the answer would be C guys

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

ANSWER ASAP WILL AWARD BRAINLIEST

Answers

Answer:

Pretty sure the answer is 9−4√3

[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]

0.35 is best known as what number

Answers

Rational number. hope this helps

what is 7/8 as a decimal rounded to the nearest thousandth

Answers

Answer:

0.875

Step-by-step explanation:

7/8 as a decimal rounded to the nearest thousandth is 0.875

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