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Understanding Costs, Ratios, and Proportions in Car Rentals and Biking

This document covers the modeling of total charges for car rentals with a flat fee and per-mile charge, an analysis of rise-to-run ratios between two points, and a proportional relationship concerning biking distances relative to time. It provides a mathematical framework for understanding these concepts, making it suitable for students learning about rates, ratios, and linear equations. Homework activities also feature table completions for practice.

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Understanding Costs, Ratios, and Proportions in Car Rentals and Biking

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  1. Tuesday 1. A car rental company charges a flat fee of $29 and an additional $0.15 per mile to rent a compact car. Write an equation to model the total charge, y in terms of x, the number of miles driven. 2. What is the ratio of rise to run between the points (3, 4) and (–2, 0)? 3. In the table shown, the ratio of miles biked to hours biked is constant.Let h = number of hours to bike 165 mi.Let m = number of miles biked in 7 hr.Which proportion can be used to determine the value of m?

  2. Wednesday

  3. ThursdayHomework: Weekly Basic Complete the tables

  4. Friday

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