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 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 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 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 find out who spent more time writing per problem, we need to calculate the unit rate (minutes per problem) for both Sonia and Maryna using the data provided.

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

So, Sonia spends **20 minutes per problem**.

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

So, Maryna spends **25 minutes per problem**.

**Comparison:**
- Sonia: 20 minutes per problem
- Maryna: 25 minutes per problem

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

So the correct response is:

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