Final answer:
Shy Guy and Koopa Troopa can afford to rent karts for 4 hours with their $290 budget after accounting for the initial rental fee and hourly charges.
Step-by-step explanation:
The question involves solving a linear equation to determine how many hours Shy Guy and Koopa Troopa can rent karts with their budget. First, we need to calculate the total initial rental fee for two karts, which is $45 per kart. Since there are two racers, the total initial fee is $45 × 2 = $90.
The budget remaining for the hourly fees is therefore $290 - $90 = $200. Cranky charges $25 per hour per kart, so for two karts, the hourly cost is $25 × 2 = $50. To find out how many hours they can rent the karts, we divide the remaining budget by the hourly cost for two karts, which is $200 ÷ $50. This calculation reveals that Shy Guy and Koopa Troopa can afford to race for a total of 4 hours within their budget.