A science class designed a container to protect an egg. Each prototype is launched from a machine at 9.4 meters per second from a roof 40 meters tall. The function f(t) = –4.9t2 + 9.4t + 40 represents the path from the building to the ground on the t-axis, where t is the amount of time since the launch.

How do the mathematical range and reasonable range compare?


mathematical: y ≤ 44.5 reasonable: y ≥ 0

mathematical: y ≤ 44.5 reasonable: y ≥ 40

mathematical: y ≤ 44.5 reasonable: 0 ≤ y ≤ 44.5

mathematical: y ≤ 44.5 reasonable: 40 ≤ y ≤ 44.5