Question

shipping the oocl shenzhen, one of the world’s 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 (\boxed{quad}). this means that after about (\boxed{quad}) hours, there are (\boxed{quad}) teus on the ship. the ( y )-intercept is (\boxed{quad}). this means that there were initially (\boxed{quad}) teus on the ship.

Explanation:

Step1: Find x - intercept (y = 0)

Set \( y = 0 \) in the equation \( y=8063 - 60x \).
\( 0 = 8063-60x \)
\( 60x = 8063 \)
\( x=\frac{8063}{60}\approx134.38\approx134 \) (rounded to nearest whole number)
This means after about 134 hours, there are 0 TEUs on the ship (since y = 0, no TEUs left).

Step2: Find y - intercept (x = 0)

Set \( x = 0 \) in the equation \( y = 8063-60x \).
\( y=8063 - 60\times0=8063 \)
This means that there were initially 8063 TEUs on the ship (at time x = 0, before any unloading).

Answer:

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