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Student Taxi Driver: Calculating Number of Fares to Pay Tuition

A student at UNLV becomes a taxi driver for the summer to pay his tuition. With car insurance costs and monthly gas expenses, find out how many fares he needs to cover his tuition. Algebraic proof included.

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Student Taxi Driver: Calculating Number of Fares to Pay Tuition

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  1. Bell Problem • A student at UNLV decided to become his own employer by using his car as a taxi for the summer. It costs the student $693.00 to insure his car for the 4 months of summer. He spends $452.00 per month on gas. If he lives at home and has no other expenses for the 4 months of summer and charges an average of $7.00 per fare, how many fares will he have to get to be able to pay his tuition of $3280.00? 826 Fares

  2. Algebraic Proof Eric Hoffman Advanced Geometry PLHS Oct. 2007

  3. Key Topics

  4. Key Topics • Two column proof (formal proof): a format used to prove statements or conjectures that uses two columns. One column for the statement and one for the reason. • The proof is very similar to the paragraph proof, all the same components, its basically just in outline form. Not complete sentences.

  5. If then d = 3 Prove: d = 3 1. Given 2. Multiplication Property 3. Substitution 4. Subtraction Property 5. Substitution 6. Division Property 7. Substitution 1. 2. 3. 4. 5. 6. 7.

  6. If then d = 3 Prove: d = 3 1. Given 2. Multiplication Property 3. Subtraction Property 4. Division Property 1. 2. 3. 4.

  7. Key Topics If then p = 1 Write a two column proof:

  8. Key Topics • Since segment measures and angle measures are real numbers, we can use many of the same properties of real numbers

  9. Construct a 2-column proof

  10. Key Topics • If rectangle ABCD has side lengths AD = 3 and AB = 10, then AC = BD. • Construct a two column proof: • Hint : Draw a picture

  11. Key Topics • Homework: Pg. 97, 10 – 30 even

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