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Solving Decimals: Comparing Taxi and Phone Bill Costs Through Equations

This guide focuses on solving equations that involve decimals while estimating solutions by rounding to the nearest tenth and hundredth. We explore real-world applications, including comparing costs of taxi fares and phone bills through variable equations. For example, we calculate where the fares of Yellow Cab and Checker Taxi equalize based on mileage and where the charges of At&T and Sprint converge based on minute usage. Clear step-by-step instructions will help you grasp rounding techniques and apply them effectively to practical problems.

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Solving Decimals: Comparing Taxi and Phone Bill Costs Through Equations

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Presentation Transcript

  1. Objective - To solve equations involving decimals. Estimate the solution by rounding to nearest tenth. Round Early Round Answer Actual Closer to Actual!

  2. Solve. Round to the nearest tenth.

  3. Solve. Round to the nearest tenth.

  4. Solve. Round to the nearest hundredth.

  5. Solve. Round to the nearest hundredth.

  6. Solve using a variable equation. Yellow Cab charges an initial $3.75 and 32 cents per mile. Checker Taxi charges $6.50 to begin a fare and 26 cents per mile. After how may miles will both fares be equal? Let x = # of miles driven Yellow Cab Checker Taxi

  7. Solve using a variable equation. At&T charges a monthly service fee of $15.80 and 8 cents per minute. Sprint charges $23.50 initially but only 5 cents per minute. After how many minutes do they charge the same? Let n = # of minutes At&T Sprint

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