Use the tables to answer the question. Sonia Number of Problems Minutes of Writing 6 120 18 360 25 500 60 1,200 Maryna Number of Problems Minutes of Writing 8 200 15 375 20 500 50 1,250 Based on the tables showing the number of minutes two writers spent writing math problems for two different lessons, who spent more time writing per problem? Write the answer in unit rate form. (1 point) Responses Sonia spent the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem . Sonia spent the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem . Maryna spent less time writing per problem at the unit rate of 1 min.25 problems . Maryna spent less time writing per problem at the unit rate of 1 min.25 problems . Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem . Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem . Maryna spent more time writing per problem at the the unite rate of 25min.1 problem .

1 answer

To determine who spent more time writing per problem, we need to calculate the unit rate (minutes spent per problem) for both Sonia and Maryna.

For Sonia:

  1. 6 problems = 120 minutes → 120 minutes / 6 problems = 20 minutes/problem
  2. 18 problems = 360 minutes → 360 minutes / 18 problems = 20 minutes/problem
  3. 25 problems = 500 minutes → 500 minutes / 25 problems = 20 minutes/problem
  4. 60 problems = 1,200 minutes → 1,200 minutes / 60 problems = 20 minutes/problem

Unit rate for Sonia: 20 minutes/problem

For Maryna:

  1. 8 problems = 200 minutes → 200 minutes / 8 problems = 25 minutes/problem
  2. 15 problems = 375 minutes → 375 minutes / 15 problems = 25 minutes/problem
  3. 20 problems = 500 minutes → 500 minutes / 20 problems = 25 minutes/problem
  4. 50 problems = 1,250 minutes → 1,250 minutes / 50 problems = 25 minutes/problem

Unit rate for Maryna: 25 minutes/problem

Conclusion:

Sonia spent 20 minutes per problem, while Maryna spent 25 minutes per problem. Thus, Maryna spent more time writing per problem.

The correct response is: Maryna spent more time writing per problem at the unit rate of 25 min. 1 problem.