Question 2: (6.PAR.6.3) - 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..

Question

Question 2: (6.PAR.6.3) - 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..

Answer 1

First expression:

If there is one rainy day each week, then in a two week period there would be a total of 2 rainy days.

Let r be the distance in miles that a student walks on a non-rainy day.

The expression to represent how far a student travels by walking in a two week period would be:

Total distance = (r * 12) + (0 * 2) = 12r

Explanation: The student walks a distance of r miles for 12 non-rainy days in two weeks. Since there are 0 miles walked on rainy days (0 * 2), we exclude that distance from the total.

Second expression:

Alternatively, we can represent the distance traveled by the student on rainy days as well.

Let n be the distance in miles that a student walks on a rainy day.

The expression to represent how far a student travels by walking in a two week period would be:

Total distance = (r * 10) + (n * 2)

Explanation: The student walks a distance of r miles for 10 non-rainy days in two weeks. They also walk a distance of n miles for 2 rainy days. The total is then computed by adding the two distances.