Final answer:
The equation that shows the relationship between weeks and paper recycled in Isabelle's office is y = 2x.
Step-by-step explanation:
To write an equation that shows the relationship between the weeks, x, and the paper recycled, y, we can use the formula y = mx + b, where m represents the rate of recycling (2 kilograms/week) and b represents the initial amount of paper recycled (0 kilograms, as mentioned in the question). So the equation would be y = 2x + 0. Since the initial amount is zero, we can simplify the equation to y = 2x.