Final answer:
The expression to show how much Roy has after x weeks is 500 + 15x. This is because while Kim's amount decreases, Roy's amount increases.
Step-by-step explanation:
The expression to show how much Roy has after x weeks is 500 + 15x.
To understand why, let's analyze the expression for Kim: 500 - 15x. This expression represents the amount Kim has, where x is the number of weeks. The expression 500 + 15x represents the amount Roy has, and it is obtained by adding 15x to 500. This is because both Kim and Roy start with the same initial amount, 500, and while Kim's amount decreases by 15x each week, Roy's amount increases by 15x each week.
Therefore, the correct answer is B. Roy has 500 + 15x.