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?

Answer 1

The required graph is shown in the attached picture.

Explanation:

First, we start by determining which will be graphed on the x-axis and which will be graphed on the y-axis

From the givens, we can note that the volume of the water is dependent on the time. This means that the time is the independent variable that should be drawn in the x-axis while the volume is the dependable variable that should be drawn on the y-axis.

Now, to draw a linear equation, the best way is to define two points tat belong to the line and then join them

At t = 0 .............> V = 4 + 2(0) = 4 ..............> first point is (4,0)

At t = -2 ..............> V = 4 + 2(-2) = 0 ...............> second point is (-2,0)

Joining the two points on the grid, we will end up with the attached graph

Hope this helps :)