Atank had 6 liters of water. the tank had a small hole in its base through which water leaked out at a constant rate. the tank was empty after 4 minutes. if y represents the number of liters of water in the tank and x represents the time in minutes, which graph best represents this situation?

Based on the given problem above, if we analyze it, we are going to look for the graph which with coordinates (0,6) which represents starting out with 6 gallons, and ending at (4,0). So, the graph that best represents this situation would be the first graph on the top left. Hope this answers your question. Have a great day!

The graph is attached.

Step-by-step explanation:

We will write an equation in slope-intercept form to represent this situation.  Slope-intercept form is

y = mx+b, where m is the slope and b is the y-intercept.

We know that the y-intercept, the initial value, is 6.  This gives us

y = mx+6.

We do not know the rate of change, or slope, of this situation.  We do, however, know that after 4 minutes there is 0 water left in the tank.  Substituting 0 in for y and 4 in for x, we have

0 = m(4)+6

0 = 4m + 6

Subtract 6 from each side:

0-6 = 4m+6-6

-6 = 4m

Divide both sides by 4:

-6/4 = 4m/4

-1.5 = m

This gives us

y = -1.5x + 6.  This can also be written as

y = -3/2x + 6.

To graph this, we begin with the y-intercept, 6.  We go up to 6 on the y-axis and plot a point.

The slope tells us where to find the next point.  Slope is rise/run; our slope is -3/2, so from our y-intercept, we go down 3 and right 2 to make our next point.  Then we draw a line between the points.

step-by-step explanation:

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