Question

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? Mark this and return

Answer 1

Answer: see tha attached graph.

Explanation:

The given equation, V = 4 + 2t, is a linear function, which means that its graph is a line.

The slope of such graph is constant; it is the coefficient of the independent variable (t in this case) and the constant term (4 in this case) is the initial value of the function (when t = 0).

To graph such function you follow these steps:

1. Draw two perpendicular axis: the horizontal and the verical axis.
2. Label the horizontall axis with the name and units of the independent variable: time in minutes.
3. Label the vertical axis with the name and units of the dependent variable: volmen of water (the units are not stated, so you cannot add this important information on your graph)
4. Choose an adequate scale and do marks on every axis: in this case I will do marks of 1 unit each.
5. Mark the initial value, i.e. the volume when t = 0, which is:  V = 4 + 2t = 4 + 2(0) = 4 + 0 = 4
6. Mark other point. For example, t = 4 ⇒ V = 4 + 2(4) = 4 + 8 = 12
7. You can check that the slope is equl to rise / run = 2, and the y-intercept is V = 4.
8. Finally, do not forget to add the title of the graph: volume of water in a bucket

With that information, you may understand the attached graph, which is just a sketch that shows some of the above mentioned features.

   

Answer 2

This graph does! I don't know if you had answer choices, but this is what the graph looks like