Final answer:
The equation to model the amount of Terrignonium-220 remaining after x hours is y = 50 × (0.5)^(x/6), where y is the remaining amount and x is the time in hours.
Step-by-step explanation:
To model how much Terrignonium-220 would remain from a 50 g sample after x hours, given a half-life of 6 hours, you can use the following equation:
y = 50 × (0.5)^(x/6)
Here, y represents the amount of Terrignonium-220 remaining, 50 is the initial amount, (0.5) is raised to the power of (x/6), where x is the number of hours elapsed, and 6 is the half-life of Terrignonium-220 in hours.