Question

the graph shows the relationship between the number of marbles and the volume in a new cylinder. find the volume if there were 9 marbles. you’re trying to find the volume in the cylinder if there were 9 marbles. the number of marbles is represented by x, so start by substituting 9 for x in the equation. slope: 4 vertical intercept: 6 volume = initial volume + volume of marbles v = 6 + 4x v = 6 + 4·□

Explanation:

Step1: Identify the volume equation

The linear equation for volume is given by $V = 6 + 4x$, where $x$ is the number of marbles.

Step2: Substitute $x=9$ into the equation

$V = 6 + 4\times9$

Step3: Calculate the final volume

First compute $4\times9=36$, then $6+36=42$.

Answer:

$42$ mL