Question

In: Advanced Math

Miles driven by millennials. In 2009, the number of miles driven per year by persons aged...

Miles driven by millennials. In 2009, the number of miles driven per year by persons aged 16–34 was 7,900. Assume that the number of miles driven was decreasing by 300 miles per year.

a. Model this information with a linear equation.

b. Use this model to predict how many miles persons aged 16–34 will drive per year in 2019.

c. Explain why this model would not be expected to hold in 2030.

Solutions

Expert Solution

a) In a year, the decrease is ; thus, in number of years, starting from , the total decrease would be . Hence, the linear model is the following: in the year , the number of miles driven is

b) Since implies , the number of miles driven (as per this linear model) is

miles.

c) In we will have implies ; therefore, if this model holds in then the number of miles driven would be

miles. But this is not compatible with real statistics ( miles a year is not a feasible data).

Colby Messinger answered 2 years ago
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