Geometry question please help
1 answer:
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Answer:
32 oz
Step-by-step explanation:
Assuming the hole in the bottle is not made any bigger as it loses water, it will lose it at a constant rate. This makes it a linear function. We can use the 2 points given to find the slope of the line, then use one of the 2 points to write an equation for the line in point-slope form, change it into slope-intercept form, and the amount of water in the bottle originally will be apparent. Plugging in to the slope formula:
Now we will choose one point for the x and y values and plug in to the point-slope form of a line:
y - 28 = -2(x - 2) and
y - 28 = -2x + 4 so
y = -2x + 32
That is in y = mx + b form where m is the slope and b is the y-intercept, the initial value of y when x = 0. x being the time gone by, when x = 0, that means that no time has gone by, and that means that no water has yet to leak out of your bottle.