131k views
0 votes
Jackson ran x miles, Katerina ran 1/2 more than that. Which equation represents the situation?

1. y=3/2x
2. y=1/2x
3. y= 2/3x
4. y= 4/3x

User Cminatti
by
8.3k points

1 Answer

3 votes

Final answer:

The correct equation to represent the scenario where Katerina ran 1/2 more miles than Jackson is y = (3/2)x. This equation shows that Katerina ran 1.5 times the distance that Jackson did, which fits the given situation.

Step-by-step explanation:

The student is asking for help in finding the equation that represents the situation where Katerina ran 1/2 more miles than Jackson, if Jackson ran x miles. To model this situation, we need an equation that takes Jackson's distance x and adds half of that distance to it, which is represented mathematically as x + (1/2)x, which simplifies to (3/2)x. Therefore, the correct equation that represents the distance Katerina ran, given the symbol y for her distance in miles, is y = (3/2)x.

The first option in the list of equations, y = (3/2)x, correctly expresses this relationship, as it indicates that Katerina ran three halves, or 1.5 times, the distance that Jackson ran. The relevance of the linear equation is that it establishes a proportional relationship between Jackson's and Katerina's distances ran, which fits the description of the scenario provided by the student.

User Cybernetic
by
9.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories