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Warm Ups Term 3 Week 2

Practice problems on inverse variation equations with scenarios involving cost, time, and direct variation of U.S. Representatives per state.

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Warm Ups Term 3 Week 2

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  1. Warm Ups Term 3 Week 2

  2. x6 y2 x2 y5 Warm Up 1/11/16 1. The cost per student, C, of a ski trip varied inversely as the number of students, n, who attend. It will cost each student $250 if 24 students attend. How many students would have to attend to get the cost down to $200? 2. Simplify each expression. Assume all variables are nonzero. a. x5x2 c. y3y3 b. d.

  3. Warm Ups 1/12/16 • The time, t, to complete a construction project varies inversely with the number of men on the job, n. If 5 men get the job done in 42 days, how many days would it take for 3 men to get the job done? • Simplify: 4x2y5· 3xy7 x2 12y

  4. Warm Up 1/13/16 5. Multiply. Assume that all expressions are defines: 10x – 40 ∙ x + 3 x2 – 6x + 8 5x + 15 • Simplify. Identify any x values for which the expression is undefined: - x2 + 3x 2x2 - 7x + 3

  5. Warm Up 1/14/2016 7. Solve. Check your solution. x2 + 3x - 28 = 11 (x – 4) 8. The number of U.S. Representatives that each state receives can be approximated with a direct variation function where the number of representatives (rounded to the nearest whole number) varies directly with the state’s population. If Pennsylvania has 19 representatives and a population of about 12,281,054 people, find the constant of variation to eight decimal places and write the variation equation.

  6. Warm Up 1/15/16 9. The time, t, that it takes for a group of students to build a sailboat varies inversely as the number of students, n. Last semester 5of Mr. Dewayne’s students built a sailboat in 195 working hours. How many students must Mr. Dewayne get to participate in order to build a sailboat in 65 hours? 10. Simplify:

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