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.

146

likes
731 views

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
94 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.

Frequently asked questions (FAQs)
What is the volume of a cone with a radius r and height h? (
+
Math question: Find the 3rd derivative of f(x) = 7x^4 + 2x^3 - 5x^2 + 9x - 1
+
What is the sum of 78 and 125?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
Solution of the equation y'' - y' -6y = 0
Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) &lt;2u- 5v,3w&gt;
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?
A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?
Given (3x+2)E [2;14] how much money (in soles) does Sophia have if numerically it is the greatest value of x?
sum of 7a-4b+5c, -7a+4b-6c
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
Log0
For the numbers below, select a number at random and find the probability that: a. The number is even b. The sum of the number’s digit is even c. The number is greater than 50 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
x²-7x+12=0
A candy manufacturer must monitor deviations in the amount of sugar in their products They want their products to meet standards. They selected a random sample of 20 candies and found that the sandard deviation of that sample is 1.7. What is the probabilty of finding a sample variance as high or higher if the population variance is actually 3277 Assume the population distribution is normal.
7-1=6 6x2=12 Explain that
What is the set-off agreement? Make your own example, describe and put in T accounts how you record transactions.
5 1/9 + 2 2/3