1. The problem asks to find Keenan's bank account balance when he buys 9 raffle tickets based on the given graph. 2. From the graph description, the balance decreases linearly from $7 at 0 tickets to $1 at 10 tickets. 3. We can model this with a linear equation: $$y = mx + b$$ where $y$ is the balance, $x$ is the number of tickets, $m$ is the slope, and $b$ is the y-intercept. 4. Calculate the slope $m$: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{10 - 0} = \frac{-6}{10} = -0.6$$ 5. The y-intercept $b$ is the balance when $x=0$, which is $7$. 6. The equation is: $$y = -0.6x + 7$$ 7. Substitute $x=9$ to find the balance: $$y = -0.6(9) + 7 = -5.4 + 7 = 1.6$$ 8. The closest given option to $1.6$ is $1.50$. **Final answer:** Keenan's bank account balance will be $1.50 when he buys 9 raffle tickets.