Example 4: In May 2006, Commonwealth Edison Company supplied electricity to residences for a

monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

supplied in the month, and $0.06208 per kWhr for all usage over 400 kWhr in the month. (a) What is the

charge for using 300 kWhr in a month? (b) What is the charge for using 700 kWhr in a month? (c) If Cis

the monthly charge for x kWhr, develop a model relating the monthly charge and kilowatt-hours used.

That is, express C as a function of x.

Answers

Answer 1

Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

Step-by-step explanation: I took this test before so I hope this helps gl on the test

Answer 2

a) The charge for using 300 kWhr in a month is $ 32.41

b) The charge for using 700 kWhr in a month is $ 59.30

c) The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The monthly charge = $ 7.58

The monthly charge for per kWhr = $ 0.08275

The monthly charge per kWhr over 400 kWhr = $ 0.06208

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Now ,

a)

The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300

                                                         = 7.58 + 24.825

                                                         = $ 32.405

Therefore , The monthly charge for 300 kWhr is $ 32.41

b)

The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

The monthly charge for 700 kWhr =  
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Substituting the value for x as 700 , we get

= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )

= 40.68 + 18.624

= $ 59.304

Therefore , The monthly charge for 700 kWhr is $ 59.304

c)

Let x represent the number of kWhr used and C be the monthly charge for x kWhr.

The model can be split into 2 parts of condition , where

For , 0 ≤ x ≤ 400

The function is 7.58 + 0.08275x

For , x > 400

The function is 15.848 + 0.06208x

Therefore ,

The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304

To learn more about equations click :

https://brainly.com/question/10413253

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Related Questions

2.2.PS-16

Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.

Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and

incorrect answers. School B gives no incorrect answers and the same number of correct answers as

School A. School A started the final round with 62 points. School B started with 24. The game ends

with the two schools tied. Let x represent the number of correct answers given by School A in the final

round. Write an equation that models the outcome of the contest. Then find the number of answers

that each school got correct in the final round.

Which equation models the scoring in the final round and the outcome of the contest?

OA. 9x + 2x - 62 = - 9x + 24

OB. 2x-9x + 62 = 9x + 24

OC. 9x - 2x - 62 = 9x + 24

OD. 9x - 2x + 62 = 9x + 24

Answers

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

helppppp please I will give brainliest​

Answers

Answer:

-3/4 ata di ako sure sa answer ko ha

-3/4 is the answer to your question

The $199.99 camera Anne purchased was on sale for 25% off. What amount did Anne get off the price rounded to the nearest dollar?

Answers

Answer:

50 dollars

Step-by-step explanation:

199.99 x .25

Answer:

the answer is 50 dollars

10 lbs to 6 lbs need percentage
please give step by step

Answers

Answer:

10ibs=1000%   6ibs=600%

Step-by-step explanation:

It’s very easy just use the internet

whats 9+10 ??????????????????????

Answers

Answer:

19

Step-by-step explanation:

yerreeer cause u add duh

Answer: Well it depends on what your referring to 10+9 is 109, 9+10 is sometimes considered to be equal to 21 but that is just mere speculation the only answer to make sense has to be 910, but alas the obvious answer was wrong. By entering in the equation on a calculator your answer would be 19. I know math is ridiculous

Which of the following shows only multiples of 12

Answers

Answer:

there is no following

Step-by-step explanation:

Answer: 12,24,36,48,60,72,84,96,108,120,132,144

Step-by-step explanation:

Hope this helps. Could not see the image attached.

Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)

Answers

-8
2/3(-21/3) + 2/3(-15/3)
-42/9 + -30/9
-72/9 = -8

If N(k) is the inverse of K(n) and N(12) = 4, then K(4) = 12

Answers

Answer:True

Step-by-step explanation:

3x + 6y = 42 and -7x + 8y = -109 solve by elimination

Answers

Answer:

Point Form

(15,-1/2

Equation Form

x=15 and y= -1/2

Step-by-step explanation:

6x^2-19x+3=0

Find both of the x

Answers

X= 1/6 or 0.16 repeating and x also equals 3:)

there are 120 calories in 2/3 cup. how many calories are in 1 cup?

Answers

Answer: 180

Step-by-step explanation: If of a 2/3 of a cup is 120 then 1/3 of a cup is 60. if 1/3 is 60 the 1 cup is 180.


Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?

Answers

Answer:

$13.92

Step-by-step explanation:

Joy hiked 9.8 miles on Saturday and 4.2 miles miles on Sunday. How much farther did Joy hike on Saturday than on Sunday? miles

Answers

Answer:5.6 I think

Step-by-step explanation:yea I just minus them and got that so

9.8-4.2= 5.6
Joy hiked 5.6 more miles on Saturday than on Sunday

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer: B

Step-by-step explanation: if 24 to 16 is 3:2 then because this is directly proportional it would be that x is 6:4

How many shelves did Andrew stock per hour?

Answers

Answer:

we dont have the info

Step-by-step explanation:

Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.​

Answers

Answer:

36 Kilograms of Dough in 6 hours

Step-by-step explanation:

Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.

In a clinical trial of oxycodone, 16 subjects experience headaches among the 227 subjects treated with oxycodone. Construct a 95% confidence interval for the proportion of treated subjects who experience headaches. Provide both probabilistic and practical interpretations. (Hint: this is proportion problem).

Answers

Answer:

95% Confidence Interval = (0.037, 0.104)

Step-by-step explanation:

The formula for Confidence Interval if a proportion is:

p ± z × √p(1 - p)/n

z = z score of a 95% confidence interval = 1.96

p = proportion = x/n

x = 16, n = 227

p = 16/227

p = 0.0704845815

≈ 0.0705

Confidence Interval

= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227

= 0.0705 ± 1.96 × √0.0002886773

= 0.0705 ± 0.0333013921

Confidence Interval

= 0.0705 - 0.0333013921

= 0.0371986079

≈ 0.037

= 0.0705 + 0.0333013921

= 0.1038013921

≈ 0.104

Hence, 95% Confidence Interval = (0.037, 0.104)

A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fabric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)

Answers

Answer:

54

Step-by-step explanation:

The circumcenter is the middle to each vertex. So since they gave you 9 in. and you have to go back and forth on each line, that is 18 in. per line. Considering there are three lines, add all of them together (Or multiple 18 by 3) to get 54 in.

Any other Prepworks questions? :)

00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)​

Answers

Answer:

∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C

Step-by-step explanation:

The product of two numbers can be put in the form of the sum of two products by using this rule, m × n =  (a × n) + (b × n), where m = a + b

Let us solve the question using this rule

∵ We need to put 64 × 13 as the sum of two products

→ Let m = 64 and n = 13

m = 64 and n = 13

∵ 64 = 60 + 4

a = 60 and b = 4

→ By using the rule above

∵ m × n = (a × n) + (b × n)

∵ a = 60, b = 4, and n = 13

64 × 13 = (60 × 13) + (4 × 13)

The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)

If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?

Answers

Answer:

range: (-5, ∞)

domain: (-∞, ∞)

Step-by-step explanation:

given vertex, absolute minimum: (-3, -5)

Range look at y-value

(minimum, maximum) the -5 will be on the left  of the comma b/c its the min

If this was a max, you would put the y-value on the right side of the comma

which statement about 3/4 multiplied by 16/5 is true?

A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5

Answers

Answer:

Option c

Step-by-step explanation:

3/4 multiplied by 16/5

3/4×16/5

12/5

Option c is correct

The product between 3/4 and 16/5

The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.

Answers

Answer:

250.

The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.

Answer:

205

Step-by-step explanation:

What is the slope-intercept form of a line that contains the point (-2,-11) with a slope=4?

PLZ HELP I ONLY HAVE 10 minutes left


Answers

Answer:

I believe its c.

Step-by-step explanation:

There using the equation mx+b=y. M is the slope(4), b is the y intercept (3).

Answer:

The correct choice is D.

How many solutions will there be to the following equation?
16x2 = 100
a. more than 2 solutions
b.
no solution
c. 1 solution
d. 2 solutions

Answers

Answer:

d. 2 solutions

+5/2,-5/2

Step-by-step explanation:

16x^2 = 100

x^2=100/16

x^2=25/4

X=√25/4

X=. +5/2,-5/2

So the answer is +5/2,-5/2

PLZ I WILL GIVE BRAINLISTS. Which is a exaplem of a negative number

1
9
-3
14

Answers

Answer:

-3

Step-by-step explanation:

because it has a negitve sign

Answer:

-3

look at this number line

________________________________

-4       -3      -2      -1       0    1     2     3    4

The numbers on the left side of the 0 are negative since they have a value below zero. This can be represented as a   - (negative) sign

Step-by-step explanation:

Keep in mine this number line can continue forever meaning every possible number on the left side of the 0 is negative.

Please answer this correctly without making mistakes

Answers

Answer:

Its too low

Step-by-step explanation:

plz mark brainliestʕ•ᴥ•ʔ

HELP!!! use Gauss-Jordan elimination to solve the following linear system

-x+6y=20

-x+3y=8

Answers

I solved it using my calculator but you can also solve the matrix by hand.

A high school marching band has 12 flute players. If 8% of the band members play the flute, then how many members are in the entire band?​

Answers

Answer:

It is 150 players

Step-by-step explanation:

You just cross multiply and divide.

8. 12

---- = -----

100. x

12×100 = 1,200

1,200 ÷ 8 = 150

Hope this helps!

Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)

Answers

Answer:

Option (C)  [0.2574 , 0.2626]

Step-by-step explanation:

Of 250 convicts, there are 65 cases of recidivism.

- Construct a 99% confidence interval for the proportion of cases of recidivism.

This calls for first finding the proportion of cases of recidivism. This will be 65/250  = 0.26

You are 100% confident that the proportion of cases of recidivism is 0.26

You will be 99% confident that the recidivism cases are between:

99% of 0.26  = 0.2574

1% of 0.26  = 0.0026

[0.26 - 0.0026] , [0.26 + 0.0026]  = [0.2574 , 0.2626]

This should be OPTION C, as that option is missing in the list of options.

Check all apply 2x+2-9=5

Answers

Answer:

x=6

Step-by-step explanation:

2x=12 simplify and subtract

x=6

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