Answer: Please refer to the graph provided.
Explanation:
The equation V = 4 + 2t describes a linear function, meaning its graph is a straight line.
The slope remains uniform throughout; it is represented by the coefficient of the independent variable, which is t here. The constant term (4) indicates the function’s initial value when t equals zero.
To illustrate the graph, follow these steps:
- Draw two perpendicular lines representing the x-axis (horizontal) and y-axis (vertical).
- Label the horizontal axis with the name and units of the independent variable, which is the time measured in minutes.
- Label the vertical axis with the name of the dependent variable, the volume of water. Since units aren’t specified, you cannot add units to your graph.
- Choose an appropriate scale, marking intervals (here, mark each unit as 1).
- Plot the initial value by calculating the volume at t = 0: V = 4 + 2(0) = 4.
- Select another point for reference, for example at t = 4: V = 4 + 2(4) = 12.
- Verify that the slope equals rise over run = 2, and that the y-intercept is at V = 4.
- Lastly, don't forget to title the graph: volume of water in a bucket.
This information will allow you to understand the attached graph, which sketches these features.
