1. **State the problem:** We need to identify the independent and dependent variables in the context of Autumn's car gas usage, given the formula $$m = 25g$$ where $m$ is miles driven and $g$ is gallons of gas used. 2. **Understand the formula:** The formula $$m = 25g$$ means miles driven ($m$) depends on the gallons of gas used ($g$) multiplied by 25 miles per gallon. 3. **Identify variables:** - The independent variable is the one you can choose or control. Here, $g$ (gallons of gas) is independent because you decide how much gas to use. - The dependent variable depends on the independent variable. Here, $m$ (miles driven) depends on $g$. 4. **Complete the sentence:** The independent variable in this context is **gallons of gas used ($g$)** and the dependent variable is **miles driven ($m$)**. That's because Autumn is using the **formula $m = 25g$** to find out the miles she can travel based on the gallons of gas she uses. **Final answer:** The independent variable is $g$ (gallons of gas), the dependent variable is $m$ (miles driven), and the formula used is $$m = 25g$$.