Final answer:
The correct equation representing the relationship between the distances Mai and Clare skated is option c) y = x + 3x/5. Clare skates 3/5 farther than Mai, thus for every mile Mai skates, Clare skates 3/5 of a mile more.
Step-by-step explanation:
The student's question pertains to writing an equation that depicts the relationship between distances covered by two individuals, Mai and Clare. Given that Clare skates 3/5 farther than Mai, if Mai skates x miles, Clare would skate x plus 3/5 of x. This translates to an additional 3/5x miles Clare covers on top of Mai's distance.
The correct equation that represents this relationship would be: y = x + (3/5)x. This means every mile that Mai skates, Clare skates an additional 3/5 of a mile more than that.
To simplify the equation, we combine like terms to get: y = 1x + 3/5x, which simplifies further to: y = (5/5)x + (3/5)x, and ultimately y = (8/5)x or y = x + 3x/5.
Therefore, the correct option that represents the relationship between the distance Mai skated (x) and the distance Clare skated (y) is:
c) y = x + 3x/5