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the oocl shenzhen one of the world s largest container ships carries 8063 teus 1280 cubic feet containers workers can unlo

Question

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.

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Answer to a math question 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.

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101 Answers

To find the y-intercept:
1. Set

x = 0

2. Substitute

x

into the equation:

y = 8063 - 60(0)

3. Simplify to get:

y = 8063

Answer:

y\text{-intercept} = 8063

which means initially there are 8063 TEUs on the ship.

To find the x-intercept:
1. Set

y = 0

2. Substitute

y

into the equation:

0 = 8063 - 60x

3. Solve for

x

:

60x = 8063

4. Divide both sides by 60:

x = \frac{8063}{60} = 134.3833 \, \text{(approximately)}

Answer:

x\text{-intercept} \approx 134.3833 \, \text{hours}

which means it takes approximately 134.3833 hours to unload all the TEUs from the ship.

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