1. **State the problem:** We are given a table showing the distance $d$ in miles and the average time $t$ in minutes it takes Adriana to travel that distance. We need to find the linear equation $t = md$ that represents this relationship. 2. **Understand the relationship:** Since the problem suggests a linear relationship, the equation will be of the form $$t = md$$ where $m$ is the constant rate (minutes per mile). 3. **Calculate the rate $m$ using the data:** Use any pair of values from the table to find $m$. Using the first pair $(d=0.18, t=9)$: $$m = \frac{t}{d} = \frac{9}{0.18} = 50$$ Check with the second pair $(d=0.24, t=12)$: $$m = \frac{12}{0.24} = 50$$ Check with the third pair $(d=0.36, t=18)$: $$m = \frac{18}{0.36} = 50$$ 4. **Interpretation:** The rate $m$ is consistent across all data points, confirming the linear relationship. 5. **Write the equation:** $$t = 50d$$ 6. **Match with the options:** Option A is $t = 50d$, which matches our derived equation. **Final answer:** $t = 50d$