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slope: 2 vertical intercept: 10 volume = initial volume + volume of mar…

Question

slope: 2
vertical intercept: 10
volume = initial volume + volume of marbles
\\(\

$$\begin{align*}v&=10&+&2x\\\\v&=10&+&2\\cdot3\\\\v&=10&+&6\\\\v&=16\\end{align*}$$

\\)
the volume in the cylinder is 3 ml when there are 16 marbles.
the volume in the cylinder is 16 ml when there are 3 marbles.
the volume in the cylinder is 16 ml when there are no marbles.

Explanation:

Brief Explanations

First, analyze the linear relationship $v = 10 + 2x$, where $x$ is the number of marbles and $v$ is the volume. When $x=3$, substitute into the equation: $v=10+2\times3=16$ mL. Match this result to the given statements.

Answer:

The volume in the cylinder is 16 mL when there are 3 marbles.