1. **State the problem:** We analyze the graph showing gallons in tank $y$ versus miles driven $x$ to determine which statements about the graph are true. 2. **Check statement A:** "As $x$ increases by 1, $y$ decreases by 25." - The graph shows $y$ decreases from about 15 to 7 as $x$ goes from 0 to 200. - The total change in $y$ is $15 - 7 = 8$ gallons over 200 miles. - Change in $y$ per 1 mile is $\frac{8}{200} = 0.04$, not 25. - So, statement A is **false**. 3. **Check statement B:** "The y-intercept is $(0,15)$." - The graph starts near $(0,15)$. - This means when no miles are driven, the tank has 15 gallons. - Statement B is **true**. 4. **Check statement C:** "The slope is equal to $-\frac{1}{25}$." - Slope $m = \frac{\Delta y}{\Delta x} = \frac{7 - 15}{200 - 0} = \frac{-8}{200} = -0.04$. - $-\frac{1}{25} = -0.04$. - Statement C is **true**. 5. **Check statement D:** "It takes 10 gallons to drive 125 miles." - Using slope-intercept form $y = mx + b$, with $m = -\frac{1}{25}$ and $b=15$: $$y = -\frac{1}{25}x + 15$$ - For $x=125$ miles: $$y = -\frac{1}{25} \times 125 + 15 = -5 + 15 = 10$$ - So, 10 gallons are used to drive 125 miles. - Statement D is **true**. **Final answer:** Statements B, C, and D are true.