A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver æ cubic yards of mulch. C(x) =
A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver æ cubic yards of mulch. C(x) =
Algebra and Trigonometry (6th Edition)
6th Edition
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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Please see attachment for math question.
![### Problem Explanation
A landscaping company offers mulch at a rate of $46 per cubic yard. Additionally, there is a fixed delivery charge of $28 for any order. We're required to determine a linear function that calculates the total cost \( C \) (in dollars) for delivering \( x \) cubic yards of mulch.
### Linear Function
The cost function \( C(x) \) can be calculated using the following steps:
1. **Variable \( x \)**: Represents the number of cubic yards of mulch ordered.
2. **Cost per cubic yard**: $46.
3. **Fixed delivery charge**: $28.
Therefore, the total cost \( C(x) \) can be expressed as the sum of the variable cost of mulch and the fixed delivery charge.
### Formula
\[ C(x) = 46x + 28 \]
- **46x**: This represents the total cost of \( x \) cubic yards of mulch.
- **+ 28**: This represents the fixed delivery charge.
This function can be used to compute the cost for any number of cubic yards of mulch ordered from the landscaping company.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ed3be98-469b-4630-9026-6d8c89f34a56%2Fa309356f-4cc3-4b5b-8806-d1a23ba5b0ba%2Fl3ssqts_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Explanation
A landscaping company offers mulch at a rate of $46 per cubic yard. Additionally, there is a fixed delivery charge of $28 for any order. We're required to determine a linear function that calculates the total cost \( C \) (in dollars) for delivering \( x \) cubic yards of mulch.
### Linear Function
The cost function \( C(x) \) can be calculated using the following steps:
1. **Variable \( x \)**: Represents the number of cubic yards of mulch ordered.
2. **Cost per cubic yard**: $46.
3. **Fixed delivery charge**: $28.
Therefore, the total cost \( C(x) \) can be expressed as the sum of the variable cost of mulch and the fixed delivery charge.
### Formula
\[ C(x) = 46x + 28 \]
- **46x**: This represents the total cost of \( x \) cubic yards of mulch.
- **+ 28**: This represents the fixed delivery charge.
This function can be used to compute the cost for any number of cubic yards of mulch ordered from the landscaping company.
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