Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water. W (n) models the amount of water Andrei uses (in liters) if he uses n marbles. W (n) = 32-0.05n What is the volume of each marble?

Question

Lamar Shields

Mathematics

13 January, 22:30

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water. W (n) models the amount of water Andrei uses (in liters) if he uses n marbles. W (n) = 32-0.05n What is the volume of each marble?

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Chris Bartlett · Answer 1

A liter of water is equivalent to 1000 cubic centimeters. Based on the equation W (n), each marble added to the tank, requires Andrei to fill 0.05 liters less of water. Thus we can use a conversion to the find that the volume of a single marble is 0.05 liters * 1000 cubic centimeters/liter, or 50 cubic centimeters.