Question

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?

Answer 1

Answer:

0.05

Step-by-step explanation:

We know that the number of marbles is represented by n.  We also know that as the number of marbles increases, the volume of water W(n) decreases, since 0.05n is subtracted.

Since 0.05n is subtracted from 32, then 32 must be the original amount of water used if there are no marbles.

Since the amount of water decreases by 0.05 times the number of marbles, the volume of each marble must be 0.05.

Answer 2

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.