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

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
.

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
.

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
.
Skip to navigation

Answer 1

To determine who spent more time writing per problem, we can calculate the unit rate (minutes per problem) for both Sonia and Maryna using the data provided in their tables.

Calculating Sonia's average writing time per problem:

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

Thus, Sonia consistently spends 20 minutes per problem.

Calculating Maryna's average writing time per problem:

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

Thus, Maryna consistently spends 25 minutes per problem.

Comparing the results:

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

Since 25 minutes is greater than 20 minutes, Maryna spent more time writing per problem.

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