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Mekhanik [1.2K]
3 years ago
13

Some carpet cleaning costs are shown in the table. The relationship is linear. Find and interpret the rate of change

Mathematics
2 answers:
Artemon [7]3 years ago
4 0
Y = m x + b , where m is the slope. The slope is the rise over the run or the change in x ( rooms cleaned ) over the change in y ( cost ).
125 = m * 1 + b
175 = m * 2 + b
-----------------------
b = 125 - m
175 = 2 m + 125 - m
m = 175 - 125
m = 50 ( the rate of change ),  b = 75
The formula is:  y = 50 x + 75
It means that the starting cost will be $75 and that for every room cleaned, the cost will rise for $50. 
levacccp [35]3 years ago
3 0

Answer:

y = m x + b , where m is the slope. The slope is the rise over the run or the change in x ( rooms cleaned ) over the change in y ( cost ).

125 = m * 1 + b

175 = m * 2 + b

-----------------------

b = 125 - m

175 = 2 m + 125 - m

m = 175 - 125

m = 50 ( the rate of change ),  b = 75

The formula is:  y = 50 x + 75

It means that the starting cost will be $75 and that for every room cleaned, the cost will rise for $50. 



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A sweater with a regular price of $38.50 is on sale for 30% off. Find the final
Paraphin [41]

Answer:

The final price would be $26.95

Step-by-step explanation:

7 0
2 years ago
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The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
3 years ago
Can help me IDK how to do ​
Dafna11 [192]
The correct answer is one doughnut cost 2$
7 0
3 years ago
-6(2+n) is greater than 72
Hitman42 [59]

Answer:

n > -14

Step-by-step explanation:

Firstly, you use the distributive property;

-12 - 6n > 72

Then, since 12 is negative, you add 12 to both sides;

-12 - 6n > 72

+12           +12

-6n > 84

Then you divide both sides by -6 to get n > -14.


Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.


5 0
3 years ago
Read 2 more answers
-5(-x - 1) + 4x – 1= 49<br> solve for x
Anton [14]

Answer:

x=5

Step-by-step explanation:

-5(-x - 1) + 4x – 1= 49

Distribute

5x +5 +4x -1 = 49

Combine like terms

9x +4 = 49

Subtract 4 from each side

9x+4-4 = 49-4

9x = 45

Divide by 9

9x/9 =45/9

x = 5

4 0
3 years ago
Read 2 more answers
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