(a)
In order to find the equation, let's use the slope-intercept form of the linear equation:
Where m is the slope and b is the y-intercept.
Looking at the graph, the initial value for t = 0 is 11500, therefore the value of b is 11500.
To calculate the slope, we can use two points from the graph (let's use (0, 11500) and (1, 9500)) in the formula below:
Therefore the equation is V = -2000t + 11500.