Final answer:
Shawna will spend 30 minutes to solve 10 math problems tonight, based on her using the rate of solving problems from the previous night, which is 3 minutes per problem.
Step-by-step explanation:
To find out how many minutes Shawna will spend on tonight's math problems, we need to determine her rate of solving problems from last night and apply it to tonight's workload. Shawna spent 45 minutes solving 15 math problems last night. Therefore, we can calculate the rate at which she solves problems by dividing the total time spent by the number of problems solved.
Shawna's rate = 45 minutes ÷ 15 problems = 3 minutes per problem
Now, if Shawna has to solve 10 problems tonight at the same rate of 3 minutes per problem, the time she will spend solving tonight's math problems is:
Time spent tonight = 10 problems × 3 minutes per problem = 30 minutes
Therefore, Shawna will spend 30 minutes solving 10 math problems tonight if she does them at the same rate as last night.