Question

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water. W(n)W(n)W, left parenthesis, n, right parenthesis models the amount of water Andrei uses (in liters) if he uses nnn marbles. W(n)=32-0.05nW(n)=32−0.05nW, left parenthesis, n, right parenthesis, equals, 32, minus, 0, point, 05, n What is the volume of each marble?

Answer 1

Answer:

• Volume of each marble is: 0.05

Step-by-step explanation:

It is given that the volume of water in the tank if n marbles are used is given by the expression :

               $W(n)=32-0.05n$

This means that if 0 marbles are used i.e. the tank is only filled with water.

Then the volume of water in the tank is:

               $W(0)=32$

This means that the volume of n marbles in the tank is: 0.05 n

( since the volume of water in the tank is: 32-volume of n marbles)

Hence, volume of each marble is calculated as the ratio of the volume of n marbles divided by n.

i.e.

 $\text{Volume\ of\ each\ marble}=\dfrac{0.05n}{n}\\\\i.e.\\\\\text{Volume\ of\ each\ marble}=0.05$

Answer 2

For the answer to the question above
asking how much water (W) is used when there are no (n) marbles in the tank?       W(0)=32-0.05*(0)       
W(0) = 32 liters
if Andrei uses 150 marbles?       
W(150)=32-0.05*(150)
 W(150 )= 24.5 litersI
hope this helps. Have a nice day!