Final answer:
Toby loads passengers at a rate of 40 passengers per 3 minutes.
Step-by-step explanation:
Toby loads 10 new passengers onto the roller coaster every 3/4 of a minute. To find the rate at which Toby loads passengers, we need to determine how many passengers are loaded per minute.
Since 3/4 of a minute is equivalent to 45 seconds (60 minutes * (3/4)), the rate at which Toby loads passengers is 10 passengers / 45 seconds.
To simplify this rate, we can convert 45 seconds to minutes by dividing by 60. This gives us a rate of 10 passengers / (45 seconds / 60 minutes), which simplifies to 10 passengers / (3/4 minutes).
Multiplying both the numerator and denominator by 4, we get a final rate of 40 passengers / 3 minutes. Therefore, Toby loads passengers at a rate of 40 passengers per 3 minutes.