Sales of the Model T increased due to its affordability, thanks to Henry Ford's innovative assembly line production methods that significantly lowered manufacturing costs. The car became accessible to the average American, transforming personal transportation. Additionally, the growing popularity of automobiles and improvements in road infrastructure further boosted demand for the Model T. Ford's effective marketing and a focus on customer satisfaction also contributed to its success.
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To create a linear model representing the company's sales as a function of the number of years since 2006, we can define ( t ) as the number of years since 2006. The sales in 2006 (when ( t = 0 )) were 10 million, and in 2011 (when ( t = 5 )), sales were 12.5 million. The slope of the line can be calculated as ( \frac{12.5 - 10}{5 - 0} = 0.5 ) million per year. Thus, the linear model is ( S(t) = 10 + 0.5t ). Using this model, if we want to find the sales in 2013 (when ( t = 7 )), we can substitute ( t ) into the equation: ( S(7) = 10 + 0.5 \times 7 = 10 + 3.5 = 13.5 ) million.
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VW beetle
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