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
Nikolay [14]
3 years ago
13

Celeste and Dora both offer guitar lessons. Celeste charges an initial fee of $5.00, and an hourly rate of $7.25. Dora has an in

itial fee of $10.25, and an hourly rate of $6.50. At how many hours of instruction will the cost for each instructor be the same?
Which equation represents the scenario?
Mathematics
2 answers:
Rina8888 [55]3 years ago
7 0

let number of hours be x

Celeste charges an initial fee of $5.00, and an hourly rate of $7.25.

C =5+7.25x...................(1)

Dora has an initial fee of $10.25, and an hourly rate of $6.50.

D=10.25+6.50x.................(2)

if the cost is same, equating equations (1) and (2)

5+7.25x=10.25+6.50x

7.25x-6.50x=10.25-5

0.75x = 5.25

x=7

so 7 hours is the answer

Alecsey [184]3 years ago
4 0

We can see that as the number of hours increase the charge also increase

Let x be the number of hours

The function denoting the scenario for Celeste

f(x)=5+7.25x

The function denoting the scenario for Dora

g(x) = 10.25+6.5x

Now we need to know the time or number of hours x, when both the functions will give us the same value , that is f(x)=g(x)

5+7.25x=10.25+6.5x

7.25x-6.5x=10.25-5.00

0.75x=5.25

x=\frac{5.25}{0.75}

x=7

Hence at 7 hours of instruction both the instructors will get the same cost

You might be interested in
Four friends evenly split the cost of miniature golf.They each paid five dollars.How much did it cost to play miniature golf?
kap26 [50]

Answer:

It costed $20 dollars in total

Step-by-step explanation:

5 0
3 years ago
the table below shows the points scored by green bird players. what was the median number of the points scored ​
yulyashka [42]

Answer: Sorry

Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(

5 0
3 years ago
Find the vertex of y=-x^2-4x
Kay [80]
The vertex would be (-2,4)
3 0
3 years ago
Please help me this is important​
ANTONII [103]

Step-by-step explanation:

the answer is:

180-48= 132°

7 0
3 years ago
Read 2 more answers
The volume of the triangular prism is 1008 cubic centimeters.
mixas84 [53]

Answer:

?

Step-by-step explanation:

i dont understanding that

4 0
2 years ago
Other questions:
  • You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas. a. Explain why you cannot make identical fruit baskets
    11·1 answer
  • What is the width of a rectangle with a length of 12cm and area of 192cm2
    14·2 answers
  • How much money is $120.00 increased by 70%?
    8·2 answers
  • (4x^5 + 3x^2 – x^4) +(6x^2 - 2x^5)
    12·2 answers
  • What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?
    15·1 answer
  • A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring size
    7·2 answers
  • I'm thinking of two numbers: a and b.
    12·2 answers
  • Please help!!!!!!!!!!!!!!!!!!!!!1
    14·1 answer
  • A local sports news network publishes its top 11 High School Football Power Rankings each week after the completion of the most
    7·1 answer
  • What is the y-intercept of (0,1) and (11,22)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!