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.

Expert avatar
Frederik
4.6
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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