To determine how many math problems Jaime can finish in 8 hours, we'll first calculate his rate of solving problems per hour, and then use this rate to find out how many problems he can solve in 8 hours.

Step 1: Calculate Jaime's rate of solving problems

Jaime's rate is:

$\text{Rate} = \frac{15 \text{ problems}}{2.5 \text{ hours}} = \frac{15}{2.5} = 6 \text{ problems per hour}$

Step 2: Calculate the number of problems he can finish in 8 hours

Using the rate found in Step 1:

$\text{Problems in 8 hours} = 6 \text{ problems/hour} \times 8 \text{ hours} = 48 \text{ problems}$

Answer:

Jaime can finish 48 math problems in 8 hours.

Would you like further explanations, or do you have any other questions?

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Relative Questions:

1. How many problems can Jaime finish in 5 hours?
2. If Jaime increased his rate to 8 problems per hour, how many could he finish in 8 hours?
3. How long would it take Jaime to finish 24 problems at his current rate?
4. If Jaime worked for 10 hours, how many problems would he complete?
5. What would Jaime's rate be if he finished 30 problems in 5 hours?

Tip: When calculating rates, it's helpful to ensure that your units (e.g., problems per hour) are consistent, especially when scaling the rate over different time periods.