Question

write an equation to represent this line. start writing your equation by filling in v to represent the volume. slope: 4 vertical intercept: 6 volume = initial volume + volume of marbles \\(\square =? +?\\)

Explanation:

Step1: Identify initial volume

The vertical intercept (initial volume when \(x=0\)) is 6.

Step2: Define volume of marbles

The slope is the volume per marble, so volume of \(x\) marbles is \(4x\).

Step3: Build the equation

Combine initial volume and marble volume using the given structure.

Answer:

\(v = 6 + 4x\)