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
.

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
.

Answer 1

To determine who spent more time writing per problem for both Sonia and Maryna, we need to calculate the unit rate for each writer, which is the number of minutes spent writing per problem.

Sonia's Rates:

• For 6 problems: 120 minutes → \( \frac{120 \text{ min}}{6 \text{ problems}} = 20 \text{ min/problem} \)
• For 18 problems: 360 minutes → \( \frac{360 \text{ min}}{18 \text{ problems}} = 20 \text{ min/problem} \)
• For 25 problems: 500 minutes → \( \frac{500 \text{ min}}{25 \text{ problems}} = 20 \text{ min/problem} \)
• For 60 problems: 1200 minutes → \( \frac{1200 \text{ min}}{60 \text{ problems}} = 20 \text{ min/problem} \)

Maryna's Rates:

• For 8 problems: 200 minutes → \( \frac{200 \text{ min}}{8 \text{ problems}} = 25 \text{ min/problem} \)
• For 15 problems: 375 minutes → \( \frac{375 \text{ min}}{15 \text{ problems}} = 25 \text{ min/problem} \)
• For 20 problems: 500 minutes → \( \frac{500 \text{ min}}{20 \text{ problems}} = 25 \text{ min/problem} \)
• For 50 problems: 1250 minutes → \( \frac{1250 \text{ min}}{50 \text{ problems}} = 25 \text{ min/problem} \)

Conclusion:

• Sonia spent 20 minutes per problem.
• Maryna spent 25 minutes per problem.

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

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