HSA 2008 Algebra/Data Analysis Item 31print

HSA 2008 Algebra/Data Analysis Item 31

CID
CIDb1cd8e95f36d8afeb8c9455a2d4ac8bf
itemNum
31
initialLetter
itemType
ECR
itemAnswerKey
N/A
itemMaxScorePoints
4
origNum
41

The table below shows the population of a small town from 1960 to 1990.

Complete the following in the Answer Book:

  • Write an equation for a line of best fit. Let x represent the years since 1960. Let y represent the population of the town. (If you choose to draw a graph to help you write the equation, use the grid provided in the Answer Book.)
  • What is the slope of your equation? What does the slope represent in the context of this problem?
  • Using your equation, estimate the population in the year 1995. Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
  • Is your equation a good model to predict the population of this town in the year 2025? Use mathematics to justify your answer.

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