Unit Rates & Proportions Unit Test 12 of 1512 of 15 Items Question 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 problem25 min.1 problem. Sonia spent the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem25 min.1 problem. Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem20 min. 1 problem. Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem20 min. 1 problem. Maryna spent more time writing per problem at the the unite rate of 25min.1 problem25min.1 problem . Maryna spent more time writing per problem at the the unite rate of 25min.1 problem25min.1 problem . Maryna spent less time writing per problem at the unit rate of 1 min.25 problems1 min.25 problems. Maryna spent less time writing per problem at the unit rate of 1 min.25 problems1 min.25 problems.
To find the unit rate, we need to divide the number of minutes by the number of problems for each writer.
For Sonia:
- For the first set of data, 120 minutes / 6 problems = 20 minutes/1 problem
- For the second set of data, 360 minutes / 18 problems = 20 minutes / 1 problem
- For the third set of data, 500 minutes / 25 problems = 20 minutes / 1 problem
- For the fourth set of data, 1200 minutes / 60 problems = 20 minutes / 1 problem
So Sonia spent an average of 20 minutes per problem.
For Maryna:
- For the first set of data, 200 minutes / 8 problems = 25 minutes / 1 problem
- For the second set of data, 375 minutes / 15 problems = 25 minutes / 1 problem
- For the third set of data, 500 minutes / 20 problems = 25 minutes / 1 problem
- For the fourth set of data, 1250 minutes / 50 problems = 25 minutes / 1 problem
So Maryna also spent an average of 25 minutes per problem.
Therefore, Sonia and Maryna spent the same amount of time writing per problem at the unit rate of 20 min.1 problem.
To find out who spent more time writing per problem, we need to calculate the unit rate for each writer.
For Sonia:
- The number of problems is 25
- The minutes of writing is 500
- To find the unit rate, we divide the minutes of writing by the number of problems: 500/25 = 20 min/problem
For Maryna:
- The number of problems is 20
- The minutes of writing is 500
- To find the unit rate, we divide the minutes of writing by the number of problems: 500/20 = 25 min/problem
Therefore, the answer is:
Sonia spent more time writing per problem at the unit rate of 20 min/problem.
To determine who spent more time writing per problem, we can calculate the unit rate for each writer. The unit rate refers to the amount of time spent per problem.
For Sonia:
Number of Problems: 25
Minutes of Writing: 500
To find the unit rate, we divide the total minutes of writing by the number of problems:
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 500 min / 25 problems
Unit Rate = 20 min/1 problem
For Maryna:
Number of Problems: 20
Minutes of Writing: 500
To find the unit rate, we divide the total minutes of writing by the number of problems:
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 500 min / 20 problems
Unit Rate = 25 min/1 problem
Now we can compare the unit rates. We see that Sonia spent more time writing per problem at a unit rate of 20 min/1 problem, while Maryna spent less time writing per problem at a unit rate of 25 min/1 problem.
Therefore, the correct answer is: Sonia spent more time writing per problem at the unit rate of 20 min/1 problem.