The amount of water in the tank y after x minutes, y = -3•x + 7, gives;
Part A: The points the graph intersects the y–axis is (0, 7)
The points the graph intersects the x–axis is (7/3, 0)
Part B; At zero minutes, the tub has seven gallons of water.
The tub is empty after 7/3 minutes
How can the amount of water in the tub be evaluated?
The given equation that gives the amount of water, y, left after x minutes is presented as follows;
Part A; The location where the graph intersect the y-axis, the y-intercept is found as follows;
At the y-intercept, x = 0, which gives;
y = -3×0 + 7 = 7
The point the equation intersect the y-axis is therefore;
The location where the graph intersect the x-axis, which is the x–intercept is given by the point where y = 0, which gives;
y = -3•x + 7
0 = -3•x + 7
x = 7/3
The point the graph intersects the x-axis is the point;
Part B;
The meaning of the points are expressed as follows;
(0, 7), the y-intercept, the point the graph intersects the y–axis, gives the amount of water in the tub at the start of the measurement.
Which gives;
- At zero minutes, the tub has seven gallons of water.
The point the graph intersects the x–axis, the x–intercept represents the time at which the tub becomes empty.
Which gives;
- The tub is empty after 7/3 minutes
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