Answer: The equation v=4+2t represents a linear function with a y-intercept of 4 and a slope of 2.
To graph this equation, we can plot the y-intercept at (0,4) and then use the slope to find additional points. For example, if we increase t by 1, v will increase by 2:
t = 0, v = 4
t = 1, v = 6
t = 2, v = 8
t = 3, v = 10
Using these points, we can draw a line that represents the equation v=4+2t. The graph will look like a straight line with a positive slope that passes through the point (0,4).
Here's a rough sketch of what the graph might look like:
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12 -
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10 -
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8 - * (2,8)
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6 - * (1,6)
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4 - * (0,4)-------*-------*
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2 - * (3,10)
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0 1 2 3 4 5 6 t
The y-axis represents the volume of water in the bucket (v) and the x-axis represents the elapsed time (t) in minutes. The slope of the line is 2, which means that the volume of water increases by 2 units for every 1 unit increase in time.
Explanation: