Final answer:
The y-intercept of the function t(x) is about 2.222 hours, representing the time it takes the plane to travel 2,000 kilometers at a speed of 900 km/h with no wind.
Step-by-step explanation:
The y-intercept of the function t(x) = 2,000/(900 + x) represents the time it takes the plane to travel 2,000 kilometers with no tailwind, as the y-intercept is the value of t(x) when x is 0. This y-intercept can be found by plugging 0 into the function, resulting in t(0) = 2,000/900. The y-intercept is therefore approximately 2.222 hours, which means that when there is no tailwind (x=0), the plane takes roughly 2.222 hours to cover the distance of 2,000 kilometers.