Question

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

Answer 1

To determine who spent more time writing per problem, we need to compare the unit rates provided for both Maryna and Sonia.

1. **Maryna's rate**: 1 min for 25 problems which simplifies to:
\[
\frac{1 \text{ min}}{25 \text{ problems}} = 0.04 \text{ min/problem}
\]

2. **Sonia's rate**: 20 min for 1 problem which simplifies to:
\[
\frac{20 \text{ min}}{1 \text{ problem}} = 20 \text{ min/problem}
\]

Now we compare the rates:

- Maryna's unit rate: \(0.04 \text{ min/problem}\)
- Sonia's unit rate: \(20 \text{ min/problem}\)

Since \(0.04\) is much less than \(20\), Maryna spent less time writing per problem, while Sonia spent significantly more time writing per problem.

Based on the responses provided:

- The correct response is **"Maryna spent less time writing per problem at the unit rate of 1 min. 25 problems."**