**Problem Statement: Reimbursement Calculation for Sales Representatives**A company reimburses its sales representatives $165 per day for lodging and meals plus $0.45 per mile driven. Set up an equation relating the reimbursements to the number of miles driven per day. How many miles were driven by a sales representative if the representative was reimbursed $259.68?Let's break this down step-by-step for clarification:1. **Daily Lodging and Meals Reimbursement**: $1652. **Reimbursement per Mile Driven**: $0.453. **Total Reimbursement Received**: $259.68**Step 1: Define the Variables**Let $ x $ represent the number of miles driven by the sales representative in one day.**Step 2: Set Up the Equation**The equation can be set up based on the total reimbursement (which includes a fixed amount and a variable amount based on miles driven) as follows:\[ 165 + 0.45x = 259.68 \]**Step 3: Solve for $ x $**To find out how many miles were driven, solve the equation:1. Subtract 165 from both sides:\[ 0.45x = 259.68 - 165 \]2. Simplify the equation:\[ 0.45x = 94.68 \]3. Divide both sides by 0.45:\[ x = \frac{94.68}{0.45} \]4. Calculate the value of $ x $:\[ x \approx 210.4 \]So, the sales representative drove approximately 210.4 miles in one day to receive a reimbursement of $259.68.

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A company reimburses its sales representatives $165 per day for lodging and meals plus $0.45 per mile driven. Set up an equation relating the reimbursements to the number of miles driven per day. How many miles were driven by a sales representative if the representative was reimbursed $259.68

A company reimburses its sales representatives $165 per day for lodging and meals plus $0.45 per mile driven. Set up an equation relating the reimbursements to the number of miles driven per day. How many miles were driven by a sales representative if the representative was reimbursed $259.68

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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