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
Arturiano [62]
1 year ago
13

Wo Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars)

for different numbers of months at Company A. The total cost y (in dollars) for x months of service at Company B is represented by y=45x+50 . Which company charges less per month?
Company A
Months, x Total cost, y
2

3

4

5

6

$180

$220

$260

$300

$340


Company A
Company A

Company B
Company B
Question 2
After how many months of service are the total costs the same?
After___ months of service, the total costs are the same.
Mathematics
1 answer:
natka813 [3]1 year ago
3 0

Using linear equations, we determined that:

1. Company A charges less per month

2. After <u>10 months</u> of service, the total costs are the same.

<h3>How to Write Linear Equations?</h3>

We are given that:

  • Number of months is represented as x
  • Total cost is represented as y

Total cost for Company B is represented as y = 45x + 50.

Company B charges $45 per month.

Write an equation in slope-intercept form, y = mx + b, to represent the total cost y (in dollars) for x months of service at Company A. From the table given, using two pairs of values, (2, 180) and (3, 220), find the slope (m).

Slope (m) = change in y/change in x = (220 - 180)/(3 - 2)

Slope (m) = 40

Company A charges $40 per month.

Plug in m = 40 and (x, y) = (2, 180) into y = mx + b, to find the y-intercept, b:

180 = 40(2) + b

180 - 80 = b

b = 100

Substitute m = 40 and b = 100 into y = mx + b:

y = 40x + 100 (equation for Company A)

Make both equations equal to find the value of x, which is the number of months of service that will make the total costs of both company the same.

45x + 50 = 40x + 100

45x - 40x = -50 + 100

5x = 50

x = 10

Therefore, number of months would be 10.

In summary, using linear equations, we determined that:

1. Company A charges less per month

2. After <u>10 months</u> of service, the total costs are the same.

Learn more about linear equation on:

brainly.com/question/2030026

#SPJ1

You might be interested in
Find the midpoint of (-3,-5), (4,5) *<br> (3,2)<br> O (-6,4)<br> (0.5,0)<br> O (-1,-3)
Sergeu [11.5K]

Answer:

(0.5, 0) will be the midpoint by applying formula which is

add both "x" quadrant and divide by it by two and then add both "you" quadrant and then divide it also by 2 you will get answer

3 0
3 years ago
Line c has an equation of y=-3/4x-3. Line d is parallel to line c and passes through the points (-2, -2). What is the equation o
blagie [28]

Answer:

y = \frac{3}{4} x - \frac{7}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x - 3 ← is in slope- intercept form

with slope m = - \frac{3}{4}

Parallel lines have equal slopes , then

y = - \frac{3}{4} x + c ← is the partial equation of line d

to find c substitute (- 2, - 2 ) into the partial equation

- 2 = \frac{3}{2} + c ⇒ c = - 2 - \frac{3}{2} = - \frac{7}{2}

y = - \frac{3}{4} x - \frac{7}{2} ← equation of line d

5 0
2 years ago
What is the slope of this line?
Llana [10]

Answer:

-3/2

Step-by-step explanation:

you can use the rise over run method to find the slope of this line

7 0
2 years ago
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how lo
lutik1710 [3]
Well, its 10 for 4. so 8 is 20, 12 is 30, 16 is 40 20 is 50, and 24 is 1 hour, 2 tabels is half the time so 5 min... so it would take -1 hour and 5 min
5 0
2 years ago
Read 2 more answers
What is the answer of -12x+-7x​
Dmitriy789 [7]

Answer:

-19x

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What are the exact values of the six trigonometric functions for -7pi/6 radians?
    12·2 answers
  • In a lab a substance was cooled by 42C over a 7 hours at a constant rate. What was the change in temperature each hour?
    14·1 answer
  • Solve, using linear combination.
    12·1 answer
  • 2: Shariyah saved $50 in September. She saved $48 in October and $45 in November. Then Shariyah spent $58 on a video game. How m
    11·2 answers
  • A copy machine makes 98 copies in 3 minutes and 30 seconds how many copies does it make per minute​
    10·1 answer
  • Which is the correct answer?
    7·1 answer
  • Help me which one is it (plz) I’ll give you 10 points
    5·2 answers
  • Can somebody please help me and show the work as well? Thank you!
    11·2 answers
  • Please help me with this.
    5·1 answer
  • Slope of (4, -3) and (-1, 5)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!