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
20

min.

1

problem
.
Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem
20

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
25

min
.
1

problem
. .

Answer 1

To determine who spent more time writing per problem, we will calculate the unit rate of minutes spent per problem for both Sonia and Maryna based on the provided data.

Sonia:

1. For 6 problems: \( \frac{120 \text{ minutes}}{6 \text{ problems}} = 20 \text{ minutes per problem} \)
2. For 18 problems: \( \frac{360 \text{ minutes}}{18 \text{ problems}} = 20 \text{ minutes per problem} \)
3. For 25 problems: \( \frac{500 \text{ minutes}}{25 \text{ problems}} = 20 \text{ minutes per problem} \)
4. For 60 problems: \( \frac{1200 \text{ minutes}}{60 \text{ problems}} = 20 \text{ minutes per problem} \)

Sonia has a consistent rate of 20 minutes per problem.

Maryna:

1. For 8 problems: \( \frac{200 \text{ minutes}}{8 \text{ problems}} = 25 \text{ minutes per problem} \)
2. For 15 problems: \( \frac{375 \text{ minutes}}{15 \text{ problems}} = 25 \text{ minutes per problem} \)
3. For 20 problems: \( \frac{500 \text{ minutes}}{20 \text{ problems}} = 25 \text{ minutes per problem} \)
4. For 50 problems: \( \frac{1250 \text{ minutes}}{50 \text{ problems}} = 25 \text{ minutes per problem} \)

Maryna has a consistent rate of 25 minutes per problem.

Now we compare their rates:

• Sonia: 20 min/problem
• Maryna: 25 min/problem

Thus, Maryna spent more time writing per problem at the unit rate of 25 minutes per problem.

The correct response is:

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