Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes

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:

1. Draw two perpendicular lines representing the x-axis (horizontal) and y-axis (vertical).
2. Label the horizontal axis with the name and units of the independent variable, which is the time measured in minutes.
3. 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.
4. Choose an appropriate scale, marking intervals (here, mark each unit as 1).
5. Plot the initial value by calculating the volume at t = 0: V = 4 + 2(0) = 4.
6. Select another point for reference, for example at t = 4: V = 4 + 2(4) = 12.
7. Verify that the slope equals rise over run = 2, and that the y-intercept is at V = 4.
8. 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.