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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Expression 1:
The distance a student travels by walking in a two-week period without rain is given by:
2(d)
Explanation: Since there are 5 school days in a week, a student walks a distance of d miles to reach school and d miles back home each day. In a two-week period, they do this for 10 days total.
Expression 2:
The distance a student travels by walking in a two-week period with rain is given by:
2(d) + d
Explanation: We add an extra day as it rains once each week. So, in total, a student walks a distance of d miles to reach school and d miles back home on the 10 days without rain, and an additional d miles on the rainy day, making it a total of 11 days.