1. **State the problem:** Lauren starts with 25 gallons in her truck's gas tank. The pump fills the tank at 35 gallons per minute. We want to write an equation for the amount of gas $y$ in the tank after $x$ minutes. 2. **Identify the variables and rate:** - Initial amount (when $x=0$): $y=25$ gallons. - Rate of change (slope $m$): $35$ gallons per minute. 3. **Use the slope-intercept form:** The slope-intercept form of a line is $$y = mx + b$$ where: - $m$ is the slope (rate of change), - $b$ is the y-intercept (initial value). 4. **Plug in the values:** - $m = 35$ - $b = 25$ So the equation is: $$y = 35x + 25$$ 5. **Interpretation:** This means after $x$ minutes, the amount of gas in the tank is the starting 25 gallons plus 35 gallons for every minute pumped. **Final answer:** $$y = 35x + 25$$