13 of 1613 of 16 Items

Question

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
. 

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
. 

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
.
Skip to navigation

Answer 1

To determine who spent more time writing per problem, we need to calculate the unit rate of minutes per problem for both Sonia and Maryna using the data from their respective tables.

For Sonia:

1. Calculate the unit rate for each entry:

   • 6 problems: 120 minutes → \( \frac{120 \text{ minutes}}{6 \text{ problems}} = 20 \text{ minutes per problem} \)
   • 18 problems: 360 minutes → \( \frac{360 \text{ minutes}}{18 \text{ problems}} = 20 \text{ minutes per problem} \)
   • 25 problems: 500 minutes → \( \frac{500 \text{ minutes}}{25 \text{ problems}} = 20 \text{ minutes per problem} \)
   • 60 problems: 1,200 minutes → \( \frac{1200 \text{ minutes}}{60 \text{ problems}} = 20 \text{ minutes per problem} \)

   Sonia's unit rate is consistently \( 20 \text{ minutes per problem} \).

For Maryna:

1. Calculate the unit rate for each entry:

   • 8 problems: 200 minutes → \( \frac{200 \text{ minutes}}{8 \text{ problems}} = 25 \text{ minutes per problem} \)
   • 15 problems: 375 minutes → \( \frac{375 \text{ minutes}}{15 \text{ problems}} = 25 \text{ minutes per problem} \)
   • 20 problems: 500 minutes → \( \frac{500 \text{ minutes}}{20 \text{ problems}} = 25 \text{ minutes per problem} \)
   • 50 problems: 1,250 minutes → \( \frac{1250 \text{ minutes}}{50 \text{ problems}} = 25 \text{ minutes per problem} \)

   Maryna's unit rate is consistently \( 25 \text{ minutes per problem} \).

Conclusion:

• Sonia spent \( 20 \text{ minutes per problem} \).
• Maryna spent \( 25 \text{ minutes per problem} \).

So, based on the calculations: Maryna spent more time writing per problem at the unit rate of \( 25 \text{ min. per problem} \).

Therefore, the correct response is: Maryna spent more time writing per problem at the unit rate of \( 25 \text{ min.} 1 \text{ problem} \).