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
dalvyx [7]
3 years ago
13

A’s DJ service charges a $200 setup fee and $75 an hour after that.

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

y=200+75x .... (1)

Let Y represent the cost for B's DJ service.

y=125x .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

125x= 200+75x

125x-75x=200

50x=200

x=4

y=125\times 4 =500

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

-y = -125x.... Equation (3).

Add euation (1) and equation (3)

y+(-y) = 200+75x-125x

0=200-50x

50x=200, x=4

y=500

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

y=200+(75\times 2) = 350

For x = 2, equation (2)

y= 125\times 2 =250

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

y=200+(75\times 6) =650

For x= 6, equation (2)

y=125\times 6=750

For 6 hours, DJ A would be  better option since it charges $650 for 6 hours.



You might be interested in
2400
Verdich [7]

Answer:

I would say that the answer is 432 inches 2.

Step-by-step explanation:

Hope this helps you and stay safe:)

4 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ???<br><br> Which of the following proportionality statements is correct ?
Leni [432]

Answer:

The third one is correct

Step-by-step explanation:

8 0
3 years ago
Pls help (brainliest!)
Musya8 [376]

Answer:

i think it is the 4th option

Step-by-step explanation:

surry if im wrong

3 0
2 years ago
I don't get this probken
exis [7]
30.31 because of u do 29-4.37 then u add 5.68 and that's how u get your answet
5 0
3 years ago
Read 2 more answers
Help please need it fast
inysia [295]
I’m pretty sure the correct answer is B
5 0
3 years ago
Other questions:
  • Seven runners are competing in a race in how many different orders can the runners cross the finish line
    14·2 answers
  • Please help, showing work is not necessary but appreciated.<br> Find the sum.
    11·2 answers
  • Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per
    14·1 answer
  • There are 9 cups of lemonade in every 6 bottles. How many cups of lemonade are in 5 bottles
    8·2 answers
  • Why is 116 not a perfect square?
    9·1 answer
  • What is the y coordinate of the solution to the system of equations? 3x+6y=3 5x-y=27
    10·1 answer
  • Can someone help me please. Im not sure if that answer is correct I accidentally clicked it
    12·2 answers
  • What is the value of x
    6·1 answer
  • Whats the x-intercept and the y-intercept and zero for 2x-3y=18
    7·1 answer
  • Express 0.106 as a fraction
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!