Question

this question has two parts. first, answer part a. then, answer part b. shipping the oocl shenzhen, one of the worlds largest container ships, carries 8063 teus (1280 - cubic - feet containers). workers can unload a ship at a rate of 1 teu every minute. the equation y = 8063 - 60x represents the number of teus on the ship y after x hours of the workers unloading the containers from the shenzhen. a. find the x - and y - intercepts and interpret their meaning in the context of the situation. round to the nearest whole number. the x - intercept is about . this means that after about hours, there are teus on the ship. the y - intercept is . this means that there were initially teus on the ship.

Explanation:

Step1: Find the x - intercept

Set \(y = 0\) in the equation \(y=8063 - 60x\). Then \(0 = 8063-60x\), and we can solve for \(x\):
\[60x=8063\]
\[x=\frac{8063}{60}\approx134.38\approx134\]
This means that after about 134 hours, there are 0 TEUs on the ship.

Step2: Find the y - intercept

Set \(x = 0\) in the equation \(y = 8063-60x\). Then \(y=8063\). This means that there were initially 8063 TEUs on the ship.

Answer:

The x - intercept is about 134. This means that after about 134 hours, there are 0 TEUs on the ship.
The y - intercept is 8063. This means that there were initially 8063 TEUs on the ship.