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 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
.
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
.
Maryna spent more time writing per problem at the unit rate of 25 min. 1 problem.
To determine who spent more time writing per problem, we need to find the unit rate for each writer. The unit rate is found by dividing the minutes of writing by the number of problems.
For Sonia:
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 120 / 6 = 20 min./problem
For Maryna:
Unit Rate = Minutes of Writing / Number of Problems
Unit Rate = 200 / 8 = 25 min./problem
From the unit rates, we can see that Maryna spent more time writing per problem, at a rate of 25 min./problem.
Therefore, the correct answer is:
Maryna spent more time writing per problem at the unit rate of 25 min./problem.
To determine who spent more time writing per problem, we need to compare the unit rates for each writer.
For Sonia:
- She wrote 6 problems in 120 minutes, so her unit rate is 120 minutes / 6 problems = 20 minutes/problem.
- She wrote 18 problems in 360 minutes, so her unit rate is 360 minutes / 18 problems = 20 minutes/problem.
- She wrote 25 problems in 500 minutes, so her unit rate is 500 minutes / 25 problems = 20 minutes/problem.
- She wrote 60 problems in 1,200 minutes, so her unit rate is 1,200 minutes / 60 problems = 20 minutes/problem.
For Maryna:
- She wrote 8 problems in 200 minutes, so her unit rate is 200 minutes / 8 problems = 25 minutes/problem.
- She wrote 15 problems in 375 minutes, so her unit rate is 375 minutes / 15 problems = 25 minutes/problem.
- She wrote 20 problems in 500 minutes, so her unit rate is 500 minutes / 20 problems = 25 minutes/problem.
- She wrote 50 problems in 1,250 minutes, so her unit rate is 1,250 minutes / 50 problems = 25 minutes/problem.
Comparing the unit rates, we can see that both Sonia and Maryna spent the same amount of time writing per problem, at a unit rate of 25 minutes/problem. Therefore, the correct answer is:
Sonia spent the same amount of time as Maryna writing per problem, at a unit rate of 25 minutes/problem.