Write an equation for (2, 1), and y increases by 4 when x increases by 1.
1 answer:
Answer:
Step-by-step explanation:
The equation for a line can be written in slope-intercept form:
Where is the slope of the line and
is the y-intercept.
Since we know " increases by
when
increases by
", that tells us that the slope of the line is
.
To figure out the y-intercept, , we can plug in the coordinates given in the problem to the point that the line passes through,
Therefore, the equation of the line is
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So just by the question, we are aware that when we divide 4,005 ounces by 16, it is not going to be a pretty number - there are going to be some left over in the form of a fraction.
First we must find out how many of these bottles can be completely filled until there is only the small fraction left that is not able to fill up a bottle. So let's divide:
And now we know that 250 bottles will be filled completely. To find the amount of ounces left over, let's see how many ounces 250 bottles is:
There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:
So there are only 5 ounces of water remaining after 250 bottles are completely filled. To put this into a fraction of the original amount, we just divide by the initial amount (4,005):
If the question is asking for the remainder in terms of a bottle, we just divide these 5 ounces by the 16 ounces it would take to fill this bottle: