Most plumbing companies charge a fee to come to your house plus a charge per hour of work. The fees and charges for two plumbing companies are shown.
Company A Fee: $50 Charge per hour: $40 Company B Fee: $25 Charge per hour: $50

Write an equation for each company, where c = total cost (in dollars) and h = number of hours. Explain what the initial values and rates of change mean in this context.

Company A: Company B:

Answers

Answer 1

Answer:

Company A: [tex]y=40x+50[/tex]

Company B: [tex]y=50x+25[/tex]

Step-by-step explanation:

The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.

Linear equation in slope-intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Company A charges $50 up front and $40 per hour afterwards, so the equation would be:

[tex]y=40x+50[/tex]

Company B charges $25 up front and $50 per hour, so:

[tex]y=50x+25[/tex]

Related Questions

Help fast !!! I have like 5 minutes left

Answers

Answer:

y-intercept = (0,3)

Step-by-step explanation:

Marcus sleeps 60 hours a week this is 5 times as many hours as he plays chess. How many hours a week does Marcus play chess?

Answers

Answer: 12 hours a week

Step-by-step explanation:

60/5 = 12

Since he plays chess 5 times the amount of time he sleeps, simply divide the amount of time he sleeps by 5.

Correct me if I am incorrect.

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.

Answers

The population of the bacteria after 7 hours is 230 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 200 bacteria, hence

a = 200

The bacteria grow at a rate of 2% per hour, hence:

b = 100% + 2% = 1.02

The exponential equation becomes:

y = 200(1.02)ˣ

After 7 hours:

y = 200(1.02)⁷ = 230

The population of the bacteria after 7 hours is 230 bacteria.

Find out more at: https://brainly.com/question/12490064

What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?

Answers

log5(4*7)+log5(2)=log5(28)+log5(2)=log5(56)

Answer:

Its D

Step-by-step explanation:

just took the test

The diameter of a circle fits around the circle ______ times.

Answers

Answer:

it fits around [tex]\pi[/tex] times which is approximately 3 times

Step-by-step explanation:

[tex]\pi[/tex]

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answers

Answer is highlighted in blue. If you have any questions feel free to ask.

We can find the slow by using the formula y2-y1/x2-x1. We have (-4, -6) and (2, 6). 6+6/2+4 is 12/6 which is 2. We need to put this into point slope form before putting this into slope-intercept form.

I will use the coordinates (2, 6).

y - 6 = 2(x - 2)

This gives us y - 6 = 2x - 4. We need to isolate y. This gives us y = 2x + 2.

I decided to use point slope form because it looks like the y-intercept is 2 and something tenths. However, the line is just off.

The answer is: y = 2x + 2

11)
Given the function, f(x) = x2 + 5x - 3 evaluate f(-2).

Answers

Answer:

f(- 2) = - 9

Step-by-step explanation:

Substitute x = - 2 into f(x) , that is

f(- 2) = (- 2)² + 5(- 2) - 3 = 4 - 10 - 3 = 4 - 13 = - 9

Find x, y

Please try to explain how you did it

Answers

I believe this is scale factor? SF=new/old. 10/8= a scale factor of 1.25 (the image gets 1.25x bigger). To find x, multiply 5 by 1.25 and subtract the original length of 5 (you subtract this length because x is only the value of the new part of the triangle). X=6.25-5, X=1.25. Try to find y yourself using this scale factor. (Brainliest would be appreciated)

3a+5=20 steps on paper

Answers

Answer:

Step-by-step explanation:

3a+5=20 -5

3a=15 /3

a=5

A fair coin is tossed (heads or tails) 9 times. What is the probability that the coin will land “heads” exactly 3 out of the 9 times?

Answers

Answer:

Step-by-step explanation:

The total number of tosses is 9

The number of successes is 3

P(heads 3 times ) = 3/9

P(heads 3 times) = 1/3

Consider the sequence: -7, -2, 3, 8…. What is f(7)?

Answers

You are adding by 5 in the sequence.
If f(1) is -7
f(2) = -2
f(3)= 3
f(4)=8
f(5)=13
f(6)=18
Therefore, f(7)=23

Help me solve this please

Answers

Answer:

2/5-1/10 = 3/10

1/5+7/10 = 9/10

Step-by-step explanation:

4/10-1/10 = 3/10

2/10+7/10 = 9/10

7 x [(7 + 7) = 7
Help plz

Answers

Answer:

[tex] \frac{1}{14} [/tex]

Step-by-step explanation:

7 x (7+7)=7

7x [(14)]=7

[tex] x = \frac{1}{14} [/tex]

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Answers

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

Help help help math math

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function

Bob purchased 2 hot dogs and 1 hamburger for S10. Later that day, Bob had to purchase more food and
Bot 1 hot dog and 3 hamburgers for S15. What were the prices of the hamburger and hot dogs?

Answers

Answer:

Hotdog: $3.00

Hamburger: $4.00

Step-by-step explanation:

For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:

x = cost of a hotdog

y = cost of a hamburger

He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:

2x + y = 10

For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:

x + 3y = 15

To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.

Using the second equation, we can solve for x by simply subtracting 3y from both sides:

x = 15 - 3y

We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:

2(15-3y) + y = 10

Distribute out the 2 into the paratheses, combine like terms, and then solve for y:

30 - 6y + y = 10

30 - 5y = 10

-5y = -20

y = 4

This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:

x = 15 - 3y

x = 15 - 3(4)

x = 15 - 12

x = 3

So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.

in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.

How many tickets i sell in 2018?

And

Show a check of your answer.

Answers

Answer:

sorry I don't know the answer of this

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?

x = –1 and x =

Answers

Answer:

x=3

Step-by-step explanation:

factoring

set to 0

florida sales tax is 7%. How much money comes out of your pocket if u buy something for $100

Answers

Answer:

Step-by-step explanation:

If you use "Is over of" the equation will be ?/100*7/100, therefore after simplifying your answer is $7

Brainliest would be appreciated! :-)

The answer you are looking for the Florida tax for $100 is 7$

PLEASE HELP I WILL MARK YOU BRAINLEST!!!
please read the question on the photo and these are the choices bellow!!

A-translation, reflection
B- rotation, reflection
C-reflection, rotation
D-rotation, translation

Answers

Answer:

Step-by-step explanation:

(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?

2
3
4
5

Answers

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?

Answers

Answer: 5in

Step-by-step explanation:

1/3x8/8=8/24

1/8x3/3=3/24

8-3=5

is -74.58 an integer

Answers

yes it is. goodluck!

help pls and thank you

Answers

Answer:

A. $10

Step-by-step explanation:

They make $10 profit an hour.

Help me with these worksheets pls

Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.

Answers

Answer:

1. yes

2.no

3.yes

4.no

5.yes

6:4 is equivalentto blank:24

Answers

24/4=6 so we must do 6x6=36. The final answer is 36:24

I need help on this question

Answers

Answer:

Go download CameraMath on playstore

Pls help I’ll brainlest ASAP

Answers

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
2 / 3 = 0.7 i think

Select the best estimate for the quotient.75.1÷9=

Answers

Answer:

8.3 44444 is the answer

Step-by-step explanation:

Please help me understand how I would pick the correct formula for step 1 for the question in the image? I am really confused.

Answers

Answer:

The first option

Step-by-step explanation:

We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.

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

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