Use the tables to answer the question.

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 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 . 

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 the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem.

Answer 1

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

For Sonia:

• 6 problems took 120 minutes: \[ \text{Rate} = \frac{120 \text{ minutes}}{6 \text{ problems}} = 20 \text{ min/problem} \]
• 18 problems took 360 minutes: \[ \text{Rate} = \frac{360 \text{ minutes}}{18 \text{ problems}} = 20 \text{ min/problem} \]
• 25 problems took 500 minutes: \[ \text{Rate} = \frac{500 \text{ minutes}}{25 \text{ problems}} = 20 \text{ min/problem} \]
• 60 problems took 1,200 minutes: \[ \text{Rate} = \frac{1200 \text{ minutes}}{60 \text{ problems}} = 20 \text{ min/problem} \]

In all cases, Sonia has a consistent rate of 20 minutes per problem.

For Maryna:

• 8 problems took 200 minutes: \[ \text{Rate} = \frac{200 \text{ minutes}}{8 \text{ problems}} = 25 \text{ min/problem} \]
• 15 problems took 375 minutes: \[ \text{Rate} = \frac{375 \text{ minutes}}{15 \text{ problems}} = 25 \text{ min/problem} \]
• 20 problems took 500 minutes: \[ \text{Rate} = \frac{500 \text{ minutes}}{20 \text{ problems}} = 25 \text{ min/problem} \]
• 50 problems took 1,250 minutes: \[ \text{Rate} = \frac{1250 \text{ minutes}}{50 \text{ problems}} = 25 \text{ min/problem} \]

In all cases, Maryna has a consistent rate of 25 minutes per problem.

Thus:

• Sonia: 20 minutes per problem
• Maryna: 25 minutes per problem

Conclusion:

Maryna spent more time writing per problem at the unit rate of 25 min/problem.

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