Final answer:
The mathematics question addresses problem-solving with a budget. Kate can see more movies by attending cheaper matinee shows or a limited number of evening shows without exceeding her $50 gift certificate.
Step-by-step explanation:
The question pertains to problem-solving within a budget constraint. Kate has a $50 gift certificate and wants to see at least 5 movies.
With matinee shows at $6 and evening shows at $10, we need to calculate how many of each she can view without exceeding her budget.
The least expensive way to maximize movie viewing would be to attend matinee shows. At $6 per matinee, she could watch 8 movies ($48 in total, remaining within the budget).
If she wishes to attend evening shows, she would be able to see 5 movies for $50.
A mix of matinee and evening shows is possible as long as the total does not exceed $50.