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A construction crew is extending a highway sound barrier that is 13 miles long. The crew builds 1/2 of a mile per week. Write an equation in slope-intercept form that represents the length y​ (in miles) of the barrier after x​ weeks.

 Feb 4, 2021
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A construction crew is extending a highway sound barrier that is 13 miles long. The crew builds 1/2 of a mile per week. Write an equation in slope-intercept form that represents the length y​ (in miles) of the barrier after x​ weeks.

 

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\(N=\dfrac{W}{t}=\dfrac{\frac{1}{2}ml}{wk}\\ \color{blue}W=W_0 +N\cdot t\)

 

\(W\ [in\ miles]=13\ miles+\dfrac{\frac{1}{2}\ mile}{week}\cdot t\ [in\ week]\)

\(y\ [in\ miles]=13\ miles+\dfrac{\frac{1}{2}\ mile}{week}\cdot x\ [in\ week]\)

laugh  !

 Feb 5, 2021

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