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
maw [93]
3 years ago
9

Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equati

on in slope-intercept form. Attorney B charges $150 for the initial meeting and $175 per hour. Find the charge for 26 hours of work for each attorney. Which is the better deal? At how many hours does this attorney become a better deal?
Mathematics
1 answer:
Anettt [7]3 years ago
3 0

let h be the number of hours then

A → C = 150h + 250 ( where C is charge )

B → C = 175h + 150

for 26 hours

A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150

B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700

Attorney A is cheaper for 26 hours, thus better deal

Equate the 2 equations to find hours they charge the same

175h + 150 = 150h + 250 ( subtract 150h from both sides )

25h + 150 = 250 ( subtract 150 from both sides )

25h = 100 ( divide both sides by 25 )

h = 4 ← number of hours when charges for both are equal

Thus Attorney A becomes a better deal at 5 hours


You might be interested in
A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps​ them, it wi
Stels [109]

It takes 9 hrs 19.8 minutes  for the student teacher to grade the exams if they worked​ alone

<u>Solution:</u>

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

W = x \times 7  ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

W =(x +y ) \times 4

Equating eqn 1 and 2

x \times 7=(x+y) \times 4

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, <em>total time taken by the student teacher = total work ÷ efficiency of student teacher</em>

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes  for the student teacher to grade the exams if they worked​ alone

4 0
3 years ago
Some one help please
alisha [4.7K]

I can’t see that ....

4 0
3 years ago
Name the property shown. 5 × 7 = 7 × 5
Anastaziya [24]

commutative property

7 0
3 years ago
Read 2 more answers
Monica read 7 1/2 pages of a mystery book and nine minutes. What is her average reading rate in pages per minute?
Andrew [12]
Her average page per minute is 1.125  pages
3 0
3 years ago
Read 2 more answers
Can anyone help me on #7 and #8
Leno4ka [110]
This is all you have to do.

8 0
3 years ago
Read 2 more answers
Other questions:
  • 2x– 5(x– 3) = 2 (x– 10)
    15·2 answers
  • Rt-2n=y solve for t
    5·1 answer
  • Which one is greatest to least?
    13·1 answer
  • What is the value of (7•9)•10^3
    7·1 answer
  • X Table: -3 | 0 | 3 | 6
    5·1 answer
  • A conjecture and the flowchart proof used to prove the conjecture are shown.
    13·1 answer
  • Find x<br> Find the measure of the indicated angle.
    12·2 answers
  • Help !!!
    6·1 answer
  • Factorise completely<br>x²-7x=12​
    14·1 answer
  • I don't know pls help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!