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.
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
.
Maryna spent more time writing per problem at the the unite rate of 25min.1 problem
.
Maryna spent more time writing per problem at the the unite rate of 25min.1 problem
.
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.
Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem.
To determine who spent more time writing per problem, we need to find the unit rate of each writer. The unit rate is the amount of time spent writing divided by the number of problems.
Let's calculate the unit rate for Sonia:
For Sonia's first set of data:
Number of Problems: 6
Minutes of Writing: 120
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 120 / 6
Unit Rate = 20 min/problem
For Sonia's second set of data:
Number of Problems: 18
Minutes of Writing: 360
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 360 / 18
Unit Rate = 20 min/problem
For Sonia's third set of data:
Number of Problems: 25
Minutes of Writing: 500
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 500 / 25
Unit Rate = 20 min/problem
For Sonia's fourth set of data:
Number of Problems: 60
Minutes of Writing: 1200
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 1200 / 60
Unit Rate = 20 min/problem
Now, let's calculate the unit rate for Maryna:
For Maryna's first set of data:
Number of Problems: 8
Minutes of Writing: 200
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 200 / 8
Unit Rate = 25 min/problem
For Maryna's second set of data:
Number of Problems: 15
Minutes of Writing: 375
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 375 / 15
Unit Rate = 25 min/problem
For Maryna's third set of data:
Number of Problems: 20
Minutes of Writing: 500
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 500 / 20
Unit Rate = 25 min/problem
For Maryna's fourth set of data:
Number of Problems: 50
Minutes of Writing: 1250
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 1250 / 50
Unit Rate = 25 min/problem
From the calculations above, we can see that the unit rate for both Sonia and Maryna is 20 min/problem for each of their respective data sets. Therefore, Sonia spent the same amount of time as Maryna writing per problem at the unit rate of 20 min/problem.