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

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
.
Maryna spent more time writing per problem at the the unite rate of 25min.1 problem
.

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
.

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 compare their unit rates. Unit rate is the amount of time it takes to complete one problem.

For Sonia:
- For 6 problems, she took 120 minutes. This means her unit rate is 120/6 = 20 minutes per problem.

For Maryna:
- For 8 problems, she took 200 minutes. This means her unit rate is 200/8 = 25 minutes per problem.

Comparing the unit rates, we can see that Sonia spent less time writing per problem. Therefore, the correct answer is:
Maryna spent less time writing per problem at the unit rate of 1 min. 25 problems.

To determine who spent more time writing per problem, we need to compare the unit rates. The unit rate is calculated by dividing the number of minutes by the number of problems for each writer.

For Sonia:
Number of Problems: 6
Minutes of Writing: 120
Unit Rate: 120 / 6 = 20 min/1 problem

For Maryna:
Number of Problems: 8
Minutes of Writing: 200
Unit Rate: 200 / 8 = 25 min/1 problem

Comparing the unit rates, we can see that Maryna spent more time writing per problem at the unit rate of 25 min/1 problem. Therefore, the correct answer is:
Maryna spent more time writing per problem at the unit rate of 25 min/1 problem.