SOLUTION: Hello I have been working on this problem for 2 days. I can do the graphing stuff myself once I figure out hot to write the correct equation and which method to use to solve it. B
Question 172909: Hello I have been working on this problem for 2 days. I can do the graphing stuff myself once I figure out hot to write the correct equation and which method to use to solve it. But every equation Icome up with just doesn't seem right, and then when I graph the coordnates it looks wrong. Thank you in advance!
You are responsible for determining the amount of food to carry on a 2-year space mission to the planet Mars for 4 astronauts. Each astronaut requires a minimum of 2000 calories per day and a minimum of 100g of protein per day.
The astronauts will be eating “pellets” for the duration of the mission. There are two types of pellets available. The red pellets contain 250g of protein and 2500 calories per kilogram and the green pellets contain 100g of protein and 7500 calories per kilogram.
Write an inequality to express the quantities of pellets that would meet the astronauts’ calorie requirements for the duration of the mission. Graph the inequality. Do the same thing for the protein requirements. Then, plot both inequalities on the same graph but only shade the area where the two inequalities overlap.
You developed and graphed two inequalities for the quantity of food pellets to carry on a mission to Mars. The weight of supplies that the spacecraft can carry is limited. Write an inequality to express that the total amount of food pellets must not exceed 2000 Kg and graph it. Then, plot the graph of this inequality on the graph of the two inequalities from DQ #2. What does the region where all three inequalities overlap represent? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! You are responsible for determining the amount of food to carry on a 2-year space mission to the planet Mars for 4 astronauts.
Each astronaut requires a minimum of 2000 calories per day and a minimum of 100g of protein per day.
The astronauts will be eating “pellets” for the duration of the mission.
There are two types of pellets available.
The red pellets contain 250g (1/4 kg )of protein and 2500 calories per kilogram (2500/4 = 625 calories per pellet)
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Each red pellet contains 0.25 kg of protein and 625 calories
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and the green pellets contain 100g (1/10 kg) of protein and 7500 calories per kilogram (7500/10) = 750 calories per pellet)
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Each green pellet contains (1/10)kg. of protein and 750 calories
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Write an inequality to express the quantities of pellets that would meet the astronauts’ calorie requirements for the duration of the mission.
Calorie Inequality: 625r + 750g >= 2000 (This is for one astronaut)
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Do the same thing for the protein requirements
Protein Inequality: (1/4)r + (1/10)g >= 100 (This is for one astronaut)
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Then, plot both inequalities on the same graph but only shade the area where the two inequalities overlap.
Graph calorie inequality:r >=(-750/625)g + (2000/625) = (-6/5)g+(16/5)
Graph protein inequality:r >=[(-1/10)/(1/4)]g+[100/(1/4)]=[(-2/5)g + 400]
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You developed and graphed two inequalities for the quantity of food pellets to carry on a mission to Mars. The weight of supplies that the spacecraft can carry is limited.
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Write an inequality to express that the total amount of food pellets must not exceed 2000 Kg and graph it.
This would be the total amount for four astronauts:
Quantity inequality: 4(0.25r + 0.10g) <= 2000 kg
(1/4)r + (1/10)g <= 500 kg
Graph: r <= (-2/5)g + 2000 kg
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Then, plot the graph of this inequality on the graph of the two inequalities from DQ #2. What does the region where all three inequalities overlap represent?
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I'll leave the analysis of the graph to you.
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Cheers,
stan H.
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