Question

in the cylinder. remember, x represents the number of marbles. solve on paper and enter your answer on zearn.

if there were 10 marbles in the cylinder, the volume would be \boxed{} ml.

the equation given is $v = 8 + \frac{1}{2}x$ and there is a graph with x (number of marbles) and y (volume in ml) axes, with the line plotted from (0,8) to (5,10.5) approximately, but the main calculation is using the equation with x=10.

Explanation:

Step1: Identify the formula and value of x

The formula for volume is \( v = 8+\frac{1}{2}x \), and \( x = 10 \) (number of marbles).

Step2: Substitute x into the formula

Substitute \( x = 10 \) into \( v = 8+\frac{1}{2}x \):
\( v = 8+\frac{1}{2}(10) \)

Step3: Calculate the value

First, calculate \( \frac{1}{2}(10)=5 \). Then, \( v = 8 + 5 = 13 \).

Answer:

13