Some of the students at Georgia Middle School like to walk to and from school. They always walk unless it rains. Let d be the distance in miles from a student's home to the school. Write two different expressions that represent how far a student travels by walking in a two week period if there is one rainy day each week.

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1 answer

Let's say the student walks to and from school every day except on the rainy days.

Expression 1:
In a week, the student walks to and from school for (6 days * 2) = 12 times.
In two weeks, the student walks to and from school for 12 * 2 = 24 times.
So the expression representing how far the student travels in two weeks is 24 * d.

Expression 2:
In a week, the student walks to and from school for (7 days - 1 rainy day) * 2 = 12 times.
In two weeks, the student walks to and from school for 12 * 2 = 24 times.
So the expression representing how far the student travels in two weeks is 24 * d.

Both expressions represent the same distance traveled by the student, which is 24 times the distance from their home to the school.