Slope (y2-y1)/(x2-x1)
Pick any random points
(1,0) and (0,3)
(3-0)/(0-1) = 3/-1 = -3
The slope is -3
It is already graphed?
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15 cups, I am pretty sure, i might be under thinking it
When the surrounding flaps are folded up, the base of the box will have dimensions 
by 
, and the box will have a height of 
. So the box has volume, as a function of ,
I don't know what technology is available to you, but we can determine an exact value for that maximizes the volume by using calculus.
Differentiating 
with respect to gives
and setting this equal to 0 gives two critical points at
For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.
3. First start by making the mixed number into an improper fraction
15/5 butter for 1 batch; 15/4 batches
then simply multiply
11 and 1/4 cups of butter are needed to make 3 and 3/4 batches.
5. (I might not have gotten this one right btw) First you need to figure out how many books she read in one day.
6/5 = 1.2
Then multiply this number by 10
1.2 * 10 = 12
then multiply 1.2 * 20
1.2 * 20 =24
So Mr Barker can read 12 books in 10 days, and 24 books in 20 days.
6. change the mixed numbers to improper fractions
7/4 cups of cereal and 9/2 bowls of cereal
multiply the fractions together
7/4 * 9/2 = 63/8
change back to a mixed number
7 and 7/8
So Mr. N eats 7 and 7/8 cups of cereal every week (who measures out their cereal each morning anyway :), hope this helps!)
