Linear models can be used to predict buying habits of consumers. Suppose that a survey found that in 2008, 18% of the consumers surveyed in a group bought designer frames for their eyeglasses. In 2011, the percentage climbed to 24 % a. Assume the percentage of people buying frames is a linear function of time, and find an equation for the percentage of people buying designer frames. Let t correspond to the number of years since 2008 P(t) b. Use your equation to predict the percentage of people buying designer frames in 2014 The model predicts the percentage of people buying designer frames in 2014 will be | c. Use your equation to predict when the percentage of people who buy designer frames will reach 50 % The model predicts in the year 1, 50% of people will buy designer frames d. Do you think you can use this model to predict the percentage of people buying designer frames in the year 2051? Why or why not?

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