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.
Frederik
4.6102 Answers
To find the y-intercept:
1. Setx = 0
2. Substitutex y = 8063 - 60(0)
3. Simplify to get:y = 8063
Answer:y\text{-intercept} = 8063
To find the x-intercept:
1. Sety = 0
2. Substitutey 0 = 8063 - 60x
3. Solve forx 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}
1. Set
2. Substitute
3. Simplify to get:
Answer:
To find the x-intercept:
1. Set
2. Substitute
3. Solve for
4. Divide both sides by 60:
Answer:
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