SOLUTION: An elevator has a maximum capacity of 2700 lb. Suppose the average weight of an adult is 180 lb. and the average weight of a child is 60 lb. Let a represent the number of adults an
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Question 1066854: An elevator has a maximum capacity of 2700 lb. Suppose the average weight of an adult is 180 lb. and the average weight of a child is 60 lb. Let a represent the number of adults and c the number of children riding in the elevator.
a. Write an inequality that express the number of adults and children who can ride in the elevator without overloading it.
b. Graph the inequality. (adults or A is x-axes, Children or C is y-axes)
c. Use the graph to find a combination of adults and children that satisfy the inequality
You can put this solution on YOUR website! An elevator has a maximum capacity of 2700 lb. Suppose the average weight of an adult is 180 lb. and the average weight of a child is 60 lb. Let a represent the number of adults and c the number of children riding in the elevator.
a. Write an inequality that express the number of adults and children who can ride in the elevator without overloading it.
Equation:
weight + weight <= 2700
180a + 60c <= 2700
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b. Graph the inequality. (adults or A is x-axes, Children or C is y-axes)
C(a) <= -180/60a + 270/6
C(a) <= -3a + 45
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c. Use the graph to find a combination of adults and children that satisfy the inequality. (0,0) would work
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Cheers,
Stan H.
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