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)
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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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### 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.
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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