1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leni [432]
2 years ago
13

You have recently begun reasearching phone billing plans. Phone company A charges a flat rate of $75 a month. A flat rate means

that your bill will be $75 each month with no additional costs. The billing plan for Phone Company B is a linear function of the number of texts that you send that month. That is, the total cost of the bill changes each month depending on how many texts you send.
Mathematics
1 answer:
storchak [24]2 years ago
7 0

Complete question :

You have recently begun reasearching phone billing plans. Phone company A charges a flat rate of $75 a month. A flat rate means that your bill will be $75 each month with no additional costs. The billing plan for Phone Company B is a linear function of the number of texts that you send that month. That is, the total cost of the bill changes each month depending on how many texts you send.

Input (no of text) __ cost of bill

50 ______________ $50

150 ______________$60

200 _____________ $65

500 _____________ $95

At what number of text will be phone plan be the same ; At what Number of text is company A the better choice ; At what number of text is company B the better choice.

Answer:

Cost is the same at, x = 300

at number of text, x < 300 phone plan B is better ;

at number of text, x > 300 phone plan A is better

Step-by-step explanation:

Let cost = y

Let x = Number of text

Company A :

y = 75

company B :

y = mx + c

m = slope = (y2 - y1) / (x2 - x1) = (95 - 50) / (500 - 50) = 45 / 450 = 1/10

When y = 50, x = 50

50 = 1/10(50) + c

50 = 5 + c

c = 50 - 5 = 45

Company B:

y = 1/10x + 45

When charge will be the same :

75 = 1/10x + 45

75 - 45 = 1/10x

30 = 1/10x

300 = x

Cost of phoe plan is the same at number of text = 300

At text = 299

Company B :

y = 1/10(299) + 45

y = 74.9

Hence, at number of text, x < 300 phone plan B is better

At text = 301

Company B :

y = 1/10(301) + 45

y = 75.1

Hence, at number of text, x > 300 phone plan A is better

You might be interested in
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked
svp [43]

Answer:

The system of equations that represents this situation is

\left \{ {{p+q=2} \atop {5p+4q=8}} \right.

Step-by-step explanation:

A system of linear equations is a set of equations that have more than one unknown or variable. In these equations the unknowns are related to each other.

To propose a system of equations, you must first identify the unknowns or variables of the problem. For this you must know what you want to find out about the problem. And then a variable or letter must be assigned: One of the unknowns of the problem is called "q" and the other is called "p" (for this case)

In this case then:

  • "q" is the amount of hours it took Courtney to walk from her home to the beach.
  • "p" is the amount of hours it took him to walk from the beach to the park.

You know that the entire walk took 2 hours. This means that the amount of hours it took Courtney to walk from her home to the beach plus the amount of hours it took him to walk from the beach to the park must be 2. Expressed in an equation you get: <u><em>p + q=2 Equation (A)</em></u>

Now, the  total distance Courtney walked was 8 kilometers.  But you have as data the value of the speed at which Courtney walks from her house to the beach, and the speed at which she walks from the beach to the park.

But you should keep in mind that speed is equal to the distance traveled divided by time, or what is the same, distances are equal to speed by time.

speed=\frac{distance}{time}

or

<em>distance=speed*time</em>

So, as the data you have are the aforementioned speeds, and the amounts of hours it took Courtney to walk from her house to the beach, and from here to the park, and from the beach to her house, it is possible to determine the distances of as follows, remembering the way in which the variables were defined:

From her house to the beach:

distance 1= 4 kilometers per hour* q

From the beach to the park:

distance 2= 5 kilometers per hour* p

As mentioned the total distance that Courtney traveled was 8 kilometers, this is the distance from her house to the beach plus the beach to the park was kilometers. Expressed in an equation you get:<u> </u><u><em>5p + 4q=8 Equation (B)</em></u>

Finally, <u><em>the system of equations that represents this situation is</em></u>

<em>\left \{ {{p+q=2} \atop {5p+4q=8}} \right.</em>

8 0
3 years ago
Read 2 more answers
Please help with some math.
KonstantinChe [14]
So you need to use the inverse tan to find the measure of angle c.

So since tan is opposite over adjacent.

You get the inverse tan of 6/8. And you get 36.87 degrees.

8 0
3 years ago
Help plz. If correct, I follow you or mark brainlist
lbvjy [14]

Answer:

I believe 60 square units in the white rectangle and and 140 square units in the blue. Together would be 200 square units...i think...im sorry if i'm wrong

Step-by-step explanation:

because lxw, 10x6, and lxw, 14x10, add you get 200

5 0
3 years ago
Find the value of x.
BigorU [14]

Answer:

x=11 degrees

Step-by-step explanation:

45+4x+1=90

46+4x=90

4x=44

x=11

4 0
3 years ago
Read 2 more answers
Write an equation for the line that passes through (2, -2) and (4, -1)​
Dahasolnce [82]

Answer:  y=1/2x-3

Step-by-step explanation:

Slope-intercept form:y=mx+b

m=y2-y1/x2-x1

-1-(-2)/4-2=1/2

y=1/2x+b

-1=1/2(4)+b

-1=2+b

b=-3

6 0
3 years ago
Other questions:
  • What sequence is geometric and has 1/4 as it's fifth term and 1/2 as the common ratio?
    9·1 answer
  • Please help
    6·1 answer
  • Carol is three times older than andrew. brad is two years older than andrew. in six years, the sum of andrew’s and brad’s ages w
    8·1 answer
  • Explain how algebra tiles represent like terms and zero pairs
    11·1 answer
  • 1/5 ( 3x + 1/2 ) <br> expand the following expression
    5·2 answers
  • Kayla is selling lemonade for $1 and cookies $0.50 outside of her house in order to earn enough money to buy a bike that costs $
    7·1 answer
  • Explain the steps used to find the solution.
    5·1 answer
  • HELP ME PLEASEEEE!!!!
    15·1 answer
  • Please show the work so I can learn the steps.
    7·1 answer
  • I don't understand this question can someone help me with this please, please explain!! and thank you for the help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!