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.
+14917 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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\(N=\dfrac{W}{t}=\dfrac{\frac{1}{2}ml}{wk}\\ \color{blue}W=W_0 +N\cdot t\)
\(W\ [in\ miles]=13\ miles+\dfrac{\frac{1}{2}\ mile}{week}\cdot t\ [in\ week]\)
\(y\ [in\ miles]=13\ miles+\dfrac{\frac{1}{2}\ mile}{week}\cdot x\ [in\ week]\)
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