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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
v = 10 + 2x
v = 10 + 2·8
v = 10 + 16
v = 26
the volume in the cylinder is 26 ml when there are no marbles.
the volume in the cylinder would be 26 ml if there were 8 marbles.
the volume in the cylinder would be 8 ml if there were 26 marbles.

Explanation:

Brief Explanations

The equation $v=10+2x$ describes the relationship, where $v$ is total volume and $x$ is the number of marbles. When $x=0$ (no marbles), $v=10$ mL, so the first statement is wrong. When $x=8$, $v=10+2(8)=26$ mL, matching the second statement. When $x=26$, $v=10+2(26)=62$ mL, so the third statement is wrong.

Answer:

The volume in the cylinder would be 26 mL if there were 8 marbles.