The cost of hiring a lawyer to help with a personal lawsuit costs an initial retainer fee of $800 plus $75 per hour for each hour the lawyer works on your case. The cost function is C(t) = 800 + 75t where t is the number of hours worked by the lawyer on your case. If the cost to you is $1,043.75 then how many hours did the lawyer work on your case? Give your answer to the nearest hundreth of an hour. Answer: Next page ĭ age Log out) 13,270
The cost of hiring a lawyer to help with a personal lawsuit costs an initial retainer fee of $800 plus $75 per hour for each hour the lawyer works on your case. The cost function is C(t) = 800 + 75t where t is the number of hours worked by the lawyer on your case. If the cost to you is $1,043.75 then how many hours did the lawyer work on your case? Give your answer to the nearest hundreth of an hour. Answer: Next page ĭ age Log out) 13,270
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Understanding Law Firm Billing: Calculating Legal Fees**
Personal lawsuit expenses can be broken down into several components. One common billing method for lawyers includes both a fixed retainer fee and an hourly rate. This example demonstrates how to calculate total legal fees based on these parameters.
**Problem Statement**
The cost of hiring a lawyer to assist with a personal lawsuit involves an initial retainer fee of $800, plus an hourly rate of $75 for every hour the lawyer dedicates to your case. The cost function for this service can be expressed mathematically as:
\[ C(t) = 800 + 75t \]
Where:
- \( C(t) \) is the total cost.
- \( t \) is the number of hours worked by the lawyer on your case.
**Given Problem**
You are given that the total cost is $1,043.75. To determine how many hours the lawyer worked on your case, you can use the cost function and solve for \( t \).
**Answer Calculation**
By substituting the total cost into the cost function, the equation becomes:
\[ 1,043.75 = 800 + 75t \]
The next step is to isolate \( t \) in this equation, which shows the number of hours worked by the lawyer.
First, subtract 800 from both sides:
\[ 1,043.75 - 800 = 75t \]
\[ 243.75 = 75t \]
Now, divide both sides by 75 to solve for \( t \):
\[ t = \frac{243.75}{75} \]
\[ t = 3.25 \]
Therefore, the lawyer worked **3.25 hours** on your case.
**Answer**: 3.25 hours
This straightforward calculation helps understand billing processes and manage legal costs effectively. Always ensure you clarify fee structures with your lawyer prior to engagement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbdbdb0e-ffa7-4a7f-a16d-cbd5f72e5119%2Ffa1d7290-b164-4bd6-a430-6e4ec1849321%2F61wr4pf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Law Firm Billing: Calculating Legal Fees**
Personal lawsuit expenses can be broken down into several components. One common billing method for lawyers includes both a fixed retainer fee and an hourly rate. This example demonstrates how to calculate total legal fees based on these parameters.
**Problem Statement**
The cost of hiring a lawyer to assist with a personal lawsuit involves an initial retainer fee of $800, plus an hourly rate of $75 for every hour the lawyer dedicates to your case. The cost function for this service can be expressed mathematically as:
\[ C(t) = 800 + 75t \]
Where:
- \( C(t) \) is the total cost.
- \( t \) is the number of hours worked by the lawyer on your case.
**Given Problem**
You are given that the total cost is $1,043.75. To determine how many hours the lawyer worked on your case, you can use the cost function and solve for \( t \).
**Answer Calculation**
By substituting the total cost into the cost function, the equation becomes:
\[ 1,043.75 = 800 + 75t \]
The next step is to isolate \( t \) in this equation, which shows the number of hours worked by the lawyer.
First, subtract 800 from both sides:
\[ 1,043.75 - 800 = 75t \]
\[ 243.75 = 75t \]
Now, divide both sides by 75 to solve for \( t \):
\[ t = \frac{243.75}{75} \]
\[ t = 3.25 \]
Therefore, the lawyer worked **3.25 hours** on your case.
**Answer**: 3.25 hours
This straightforward calculation helps understand billing processes and manage legal costs effectively. Always ensure you clarify fee structures with your lawyer prior to engagement.
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