Final answer:
To calculate the rate at which a 50.0-gallon gas tank is filled in gallons per second, we divide the volume by the time in seconds (600), resulting in 0.0833 gallons per second.
Step-by-step explanation:
The student is asking to calculate the rate at which a gas tank is filled in gallons per second. This is a conversion of unit's problem where we are given a volume (50.0 gallons) and a time (10.00 minutes) and need to find the rate in a different unit of time (seconds).
To find the rate in gallons per second, we first convert 10.00 minutes into seconds. We know that 1 minute is equal to 60 seconds, therefore 10.00 minutes is 10 x 60 = 600 seconds.
Now, we divide the total gallons by the total seconds to find the rate:
Rate = Total Volume / Total Time = 50.0 gallons / 600 seconds = 0.0833 gallons per second.
Therefore, the rate at which the tank is filled is 0.0833 gallons per second, which corresponds to option A.