The tank which is filling most quickly is Tank A.
What is the standard equation of a line?
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y-intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The three lines in the figure follow a straight line equation.
The three lines represent the amount of water, over time in three tanks that are the same size
m, slope represents the rate at which the tank is filled.
The greater the slope, the more the rate, and the faster the tank will be filled.
The slope of the lines can be seen from the figure,
Line A > Line B > Line C
The rate for filling the tank has the order,
Tank A > Tank B > Tank C
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