1. **Problem Statement:** Explain what the numbers 2.5 and 1 represent in the equation $$h = 2.5t + 1$$ where $$h$$ is height in feet and $$t$$ is time in seconds. 2. **Formula and Explanation:** The equation is in the form $$h = mt + b$$ where: - $$m$$ is the rate of change (slope), - $$b$$ is the initial value (y-intercept). 3. **Interpretation of 2.5:** The coefficient 2.5 represents the rate at which the balloon rises. Since $$t$$ is in seconds and $$h$$ is in feet, 2.5 means the balloon rises 2.5 feet every second. 4. **Interpretation of 1:** The constant 1 represents the initial height of the balloon at time $$t=0$$. This means the balloon started 1 foot above the ground before it began rising. 5. **Summary:** - 2.5 is the balloon's rising speed in feet per second. - 1 is the starting height in feet. **Note:** The numbers 4.25 and 14 mentioned in the question do not appear in the equation given, so they are not relevant to this problem. --- **Domain Questions:** 1. For predicting the number of household online devices based on people in a household, the domain should be **whole numbers** (non-negative integers) because you cannot have fractional or negative people. 2. For the construction company spending money based on number of people working, the domain should be **positive integers** since number of workers is a positive whole number. 3. For the cost of frozen yogurt based on weight $$w$$ in ounces, the domain should be **non-negative rational numbers** because weight can be fractional but cannot be negative.