1. **State the problem:** We have two playlists: Han's playlist is described by the equation $$y = 4x + 20$$ where $x$ is the number of days and $y$ is the total number of songs. Tyler's playlist is parallel to Han's and has a vertical intercept at $(0, 12)$, so its equation is $$y = 4x + 12$$. We want to check if Tyler will have more songs than Han after 3 days. 2. **Recall the formula for a line:** A linear equation in slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the vertical intercept. Since Tyler's line is parallel to Han's, they have the same slope $m=4$. 3. **Write Tyler's equation:** Given the vertical intercept $(0,12)$ and slope $4$, Tyler's equation is: $$y = 4x + 12$$ 4. **Calculate the number of songs after 3 days for Han:** $$y = 4(3) + 20 = 12 + 20 = 32$$ 5. **Calculate the number of songs after 3 days for Tyler:** $$y = 4(3) + 12 = 12 + 12 = 24$$ 6. **Compare the results:** After 3 days, Han has 32 songs and Tyler has 24 songs. 7. **Conclusion:** Tyler does not have more songs than Han after 3 days. Therefore, I disagree with Tyler's statement.