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.

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see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.