Question

Draw a graph that 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 1

Answer: The graph is attached.

Step-by-step explanation: We are given to draw the graph of the following equation:

`V=4+2t~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i),`

where 'V' is the total volume of water in a bucket and 't' is the elapsed time in minutes.

Since equation (i) is a linear equation in two unknown variables, so the graph will be a straight line.

To draw the graph of a straight line, we need at least two points to be plotted on the graph paper and then joined straight.

If t = 0, then from equation (i), we have

`V=4+2* 0=4.`

If t = -2, then from equation (i), we have

`V=4+2* (-2)=0.`

So, (t. V) = (0, 4) and (-2, 0) are two points on the graph, if 't' is plotted along X-axis and 'V' is plotted along Y-axis.

These two points are joined to draw the graph of the given equation. Please see the attached graph below.

Answer 2

Since v=4+2t its linear equation in the graph is a straight line. Put t=0,1,2.....give value of v and draw it. For example, if t=-2, v= 0 so the point on XOY axes is A(-2, 0). I hope that this is the answer that you were looking for and it has helped you.