Writing Equations from Real-World Scenarios

Question:
A swimming pool is being drained. It starts with 8,000 gallons of water and drains at a constant rate of 250 gallons per hour. Write an equation in slope-intercept form that represents the amount of water, y in gallons, remaining in the pool after t hours. Then determine how much water remains after 12 hours.

Writing Equations from Real-World Scenarios

This lesson uses a real-world draining scenario to build a linear equation in slope-intercept form, y = mt + b. Students identify the initial value as the y-intercept and a constant rate of change as the slope, then evaluate the equation at a specific input value and verify the result.

In this lesson, you will learn to:
• Identify the slope and y-intercept from a real-world context and write an equation in slope-intercept form
• Interpret the meaning of a negative slope as a constant decrease in a practical situation
• Evaluat