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5.3.1: Practice Problems Corequisite M.3

  • Page ID
    148619
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    The table below shows data on the prevalence or rate of smoking among adults in the United States over time.5

    Year Prevalence of Smoking Among Adults in the United States (as a percentage)
    1965 42.40
    1970 37.40
    1980 33.20
    1990 25.50
    2000 23.30
    2005 20.90
    2010 19.30
    2013 17.80
    2020 12.50

    (1) Graph the data on the grid below. Add appropriate labels.

    Blank graph. Y-axis ranged from 0 to 45 in increments of 5. X-axis ranged from 1965 to 2020 in increments of 5.

    (2) Create a linear equation for the data. Let P = the percentage of adults who smoke and t = the number of years after 1965. Use the two points below to find your model.

    Point 1: Year 1970, Percentage 37

    Point 2: Year 2013, Percentage 18

    Round your vertical intercept to the nearest whole number, and your slope to two decimal places.

    (3) Describe the situation modeled by your equation. This would be a verbal description of the model (so it should match the graph and the equation). Be sure to include an interpretation of the starting value and the rate of change.

    (4) Do you think your model would accurately predict the rate of smoking in 2060? Explain your answer.

    (5) Based on these data, can you say that fewer adults in the United States smoked in 2010 than in 2005?

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    5 www.infoplease.com/ipa/A0762370.html#ixzz1bS71bHKR and https://www.cdc.gov/tobacco/data_statistics/fact_sheets/adult_data/cig_smoking/index.htm


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