21.07.2022

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08.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Specialist

1. Graph is attached.

Title: Contractor 1's fee

In the real world it would mean that the total cost (y) is starting at 200 and then 50 per hour.

(1,250) means that she paid 250 for 1 hour

(2,300) means that she paid 300 for 2 hours

(3,350) means that she paid 350 for 3 hours

2. It means that contractor 2 charges 5 more per hour

it means that contractor 1 charges 50 more as a starting fee.

3. rate of change  60, this means that it changes by 60 every time.

y-2=60(x-0)

y intercept is 0

4.

a. x=210, y=10700,y=210(50)+200

b.x=195, y=195(55)+150, y=10875

c.x=185,y=185(60),y=11100

d. She should choose contractor 2 because it's the second cheapest and contractor 1 is over 200 hours.



Would be appreciated : ) mrs. solar is remodeling a house and is looking for a contractor to do the
Mathematics
Step-by-step answer
P Answered by Specialist

1. Graph is attached.

Title: Contractor 1's fee

In the real world it would mean that the total cost (y) is starting at 200 and then 50 per hour.

(1,250) means that she paid 250 for 1 hour

(2,300) means that she paid 300 for 2 hours

(3,350) means that she paid 350 for 3 hours

2. It means that contractor 2 charges 5 more per hour

it means that contractor 1 charges 50 more as a starting fee.

3. rate of change  60, this means that it changes by 60 every time.

y-2=60(x-0)

y intercept is 0

4.

a. x=210, y=10700,y=210(50)+200

b.x=195, y=195(55)+150, y=10875

c.x=185,y=185(60),y=11100

d. She should choose contractor 2 because it's the second cheapest and contractor 1 is over 200 hours.



Would be appreciated : ) mrs. solar is remodeling a house and is looking for a contractor to do the
English
Step-by-step answer
P Answered by Master

Question 9

An ancient eye doctor whose advertisement still stands in the valley of Ashes.

Question 10

God staring down upon and judging American society as a moral wasteland

The essential meaninglessness of the world and the arbitrariness of the mental process by which people invest objects with meaning

Both A and B are correct

Question 11

A mild rebuke or criticism

Question 12

Establish or strengthen as with new evidence or facts

Question 14

A stretch of land between East and West Eggs where New York’s ashes are dumped.

Question 15

The moral and social decay that results from the uninhibited pursuit of wealth

Question 16

Because he throws elaborate parties every single weekend

Question 17

Although the party is rowdy and most people are drunk, Gatsby is reserved and never drinks alcohol.

Although many people are gossiping about him, Gatsby brags about the great number of close friends he has.

English
Step-by-step answer
P Answered by Master

Question 9

An ancient eye doctor whose advertisement still stands in the valley of Ashes.

Question 10

God staring down upon and judging American society as a moral wasteland

The essential meaninglessness of the world and the arbitrariness of the mental process by which people invest objects with meaning

Both A and B are correct

Question 11

A mild rebuke or criticism

Question 12

Establish or strengthen as with new evidence or facts

Question 14

A stretch of land between East and West Eggs where New York’s ashes are dumped.

Question 15

The moral and social decay that results from the uninhibited pursuit of wealth

Question 16

Because he throws elaborate parties every single weekend

Question 17

Although the party is rowdy and most people are drunk, Gatsby is reserved and never drinks alcohol.

Although many people are gossiping about him, Gatsby brags about the great number of close friends he has.

Mathematics
Step-by-step answer
P Answered by Master
PART A:
The rate of change can be found by taking the total cost divided by the number of hours. It's essentially the "slope" of the line.
$120/2 = $60/hour

In the real world, that just means the contractor charges $60 for each hour of work.

PART B:
If you graph the points, it's obvious the y-intercept is 0.

In the real world, that just means the cost is $0 when the contractor does 0 hours of work.

PART C:
The general form of a line (slope-intercept) is:
y = mx + b

We already figured out the slope (m) and the y-intercept (b) in the first two parts, so just plug them in:
y = 60x + 0

We can just drop the last part about adding 0, so the simple equation is:
y = 60x

PART D:
Just plot the points and connect them with a line.
Mathematics
Step-by-step answer
P Answered by PhD

rate of change is the slope

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

m= (180-120)/(3-2)

m = 60/1

m = 60

b.  point slope form

y-y1 = m(x-x1)

y-120 = 60 (x-2)


c see attached graph.  x>=0 since it is hours

d the y intercept is

y -120 = 60x-120

add 120 to each side

y = 60x



Fast i need 100% contractor 3 gives mrs. solar the following fee table showing her charges for the c
Mathematics
Step-by-step answer
P Answered by PhD
Contractor 1: y = 200 + 50x
Contractor 2: y = 150 + 55x

50 and 55 are the variable costs incurred in doing the project. These costs will only be implemented when x changes. X is the variable that may represent the number of hours worked, number of people added to complete the task.

200 and 150 are the fixed cost of the project. Mrs. Solar must pay the cost regardless of the changes happening in x.

For example: Both contractors need to add 15 additional people to complete the task. Then:
Contractor 1 : y = 200 + 50(15) = 200 + 750 = 950
Contractor 2 : y = 150 + 55(15) = 150 + 825 = 975  è Contractor 1 is the best option:
If x = 10 additional people
Contractor 1: y = 200 + 50(10) = 200 + 500 = 700
Contractor 2: y = 150 + 55(10) = 150 + 550 = 700 è Any contractor is the best option
If x = 5 additional people
Contractor 1: y = 200 + 50(5) = 200 + 250 = 450
Contractor 2: y = 150 + 55(5) = 150 + 275 = 425 è Contractor 2 is the best option
Mathematics
Step-by-step answer
P Answered by PhD
Contractor 1: y = 200 + 50x
Contractor 2: y = 150 + 55x

50 and 55 are the variable costs incurred in doing the project. These costs will only be implemented when x changes. X is the variable that may represent the number of hours worked, number of people added to complete the task.

200 and 150 are the fixed cost of the project. Mrs. Solar must pay the cost regardless of the changes happening in x.

For example: Both contractors need to add 15 additional people to complete the task. Then:
Contractor 1 : y = 200 + 50(15) = 200 + 750 = 950
Contractor 2 : y = 150 + 55(15) = 150 + 825 = 975  è Contractor 1 is the best option:
If x = 10 additional people
Contractor 1: y = 200 + 50(10) = 200 + 500 = 700
Contractor 2: y = 150 + 55(10) = 150 + 550 = 700 è Any contractor is the best option
If x = 5 additional people
Contractor 1: y = 200 + 50(5) = 200 + 250 = 450
Contractor 2: y = 150 + 55(5) = 150 + 275 = 425 è Contractor 2 is the best option
Mathematics
Step-by-step answer
P Answered by PhD
I'm guessing that you forgot to put contractor 1's fees
judging from the question, I would assume that his fees are y=200+50x
I will assume that y=fee and x=number of hours (or units of time)

so
a. difference between 55 and 50, that is 5 so #2's fee is 5$ more for every hour he works
b. difference between200 and 150 means that contractor 1 gets 50 more initally than contractor 2
Mathematics
Step-by-step answer
P Answered by Master
PART A:
The rate of change can be found by taking the total cost divided by the number of hours. It's essentially the "slope" of the line.
$120/2 = $60/hour

In the real world, that just means the contractor charges $60 for each hour of work.

PART B:
If you graph the points, it's obvious the y-intercept is 0.

In the real world, that just means the cost is $0 when the contractor does 0 hours of work.

PART C:
The general form of a line (slope-intercept) is:
y = mx + b

We already figured out the slope (m) and the y-intercept (b) in the first two parts, so just plug them in:
y = 60x + 0

We can just drop the last part about adding 0, so the simple equation is:
y = 60x

PART D:
Just plot the points and connect them with a line.

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