Respuesta :
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!
Answer:
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.
