check the picture below.
namely, which of those intervals has the steepest slope, recall slope = average rate of change.
now, from the picture, notice, those two there are the steepest, the other three are leaning too much to the "ground".
so, from those two, which is the steepest anyway? let's check their slope.
![\bf \stackrel{\textit{from the 6th to the 8th hour}}{(\stackrel{x_1}{6}~,~\stackrel{y_1}{104})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{146})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{146-104}{8-2}\implies \cfrac{42}{2}\implies 21~~\bigotimes \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bfrom%20the%206th%20to%20the%208th%20hour%7D%7D%7B%28%5Cstackrel%7Bx_1%7D%7B6%7D~%2C~%5Cstackrel%7By_1%7D%7B104%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B8%7D~%2C~%5Cstackrel%7By_2%7D%7B146%7D%29%7D%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B146-104%7D%7B8-2%7D%5Cimplies%20%5Ccfrac%7B42%7D%7B2%7D%5Cimplies%2021~~%5Cbigotimes%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
Set up a table.
Pages | Minutes
-----------------------
25. | 30
? | 200
One way is to cross multipy.
200 x 25 = 5,000
30 x ? = 5,000
So do 5,000 divided by 30 and you get your answer
Answer:
52
Step-by-step explanation:
Divide 312 by 6 to find the number of events he swam per year
Answer:
Step-by-step explanation:
1/8 = 1/9 + x ...multiply by LCD of 72
9 = 8 + 72x
9 - 8 = 72x
1 = 72x
1/72 = x
1/8 = 1/10 + x....multiply by 40
5 = 4 + 40x
5 - 4 = 40x
1 = 40x
1/40 = x
1/8 = 1/11 + x....multiply by 88
11 = 8 + 88x
11 - 8 = 88x
3 = 88x
3/88 = x
can all unit fractions be made in more then 1 way like this ?
not to sure because that last one....because it has been that a unit fraction is the outcome of adding together 2 unit fractions...but that last one...3/88 is not a unit fraction
