Write and solve a linear equation from a short verbal or contextual situation.
Model and solve a word problem
Problem
A taxi charges \(\$6\) plus \(\$2~\text{per}~\text{mile}\) for a \(\$20\) fare. Write and solve an equation for the miles traveled. Report the equation and distance.
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What this problem is really about
Let x count miles, then separate the fare into a six-dollar charge that happens once and a two-dollar charge that repeats for every mile. Those parts together make the twenty-dollar total. Remove the base fare before dividing by the mileage rate, and finish by checking the fare and attaching miles to the result.
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