Final answer:
At his constant working rate, Brandon would take 32 minutes to complete 8 problems, calculated by first determining his rate of 4 minutes per problem.
Step-by-step explanation:
Brandon worked at a constant rate and completed 12 1/2 problems in 50 minutes. To find out how long it would take him to complete a single problem, we can use unit rate calculations. First, we convert 12 1/2 problems to an improper fraction, which is 25/2 problems. Then, we set up a ratio to find the time per problem:
50 minutes
/ (25/2 problems) =
50 minutes
* (2/25) =
4 minutes/problem
.
Now to find out how long it would take him to complete 8 problems at the same rate, we simply multiply the time per problem by the number of problems:
4 minutes/problem *
8 problems
=
32 minutes
.
Therefore, it would take Brandon 32 minutes to complete 8 problems at his constant working rate.