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Dorothy is running for president of the student body and wants to create campaign posters to hang throughout the school. She has determined that there are four main hallways that need six posters each. A single poster takes one person 30 minutes to create and costs a total of $1.50.

A) What would be the total cost for Dorothy to create all the needed posters? Show your work.

B) If two people working together can create a poster in 20 minutes, how much total time would Dorothy save by getting a friend to help her? Show your work.

C) If Dorothy works alone for 3 hours, and is then joined by her friend, calculate exactly how much total time it will take to create all the necessary posters. Show your work.

D) Omar, Dorothy's opponent, decided to create his posters on a Saturday and get his friends Janice and Beth to help. He knows that he can create 24 posters in 12 hours if he works alone. He also knows that Janice can create 24 posters in 10 hours and Beth can create 24 posters in 9 hours. How long will it take them, if all three of them work together to create the 24 posters? Round all decimals to the nearest hundredths. Show your work.

E) When Omar went to purchase his posters, he discovered that the cost of creating a poster had increased by 20%. How many posters will he be able to create if he wants to spend the same amount of money on his posters as Dorothy? Justify your answer.

Materials/Resources:

  • Calculator
  • HSPA Mathematics Reference Sheet

Techniques for PAT Scoring:
See item-specific sample response and scoring rubric B0705-001R for this PAT.


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