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
2 answers:
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:
- Draw two perpendicular axis: the horizontal and the verical axis.
- Label the horizontall axis with the name and units of the independent variable: time in minutes.
- 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)
- Choose an adequate scale and do marks on every axis: in this case I will do marks of 1 unit each.
- Mark the initial value, i.e. the volume when t = 0, which is: V = 4 + 2t = 4 + 2(0) = 4 + 0 = 4
- Mark other point. For example, t = 4 ⇒ V = 4 + 2(4) = 4 + 8 = 12
- You can check that the slope is equl to rise / run = 2, and the y-intercept is V = 4.
- 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.
You might be interested in