The solution to the equation would be 21.5
Why?
If you do the equation backwards
30 - 8.5 = x
You would get 21.5
You can plug it into the first equation to check!
:)
We can cancel out the y^4 on the top and bottom of the fraction.
this gives us...
(x^3)/3
Answer:
251000
Step-by-step explanation:
391000-140000+251000
Answer:
Part 1) The unit rate is ![16\frac{dollars}{ounce}](https://tex.z-dn.net/?f=16%5Cfrac%7Bdollars%7D%7Bounce%7D)
Part 2) The unit rate is ![\frac{1}{4}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
Part 3) The unit rate is ![\frac{1}{4}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
Part 4) The unit rate is ![4\frac{dollars}{ounce}](https://tex.z-dn.net/?f=4%5Cfrac%7Bdollars%7D%7Bounce%7D)
see the attached figure
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
![m=\frac{d2-d1}{n2-n1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bd2-d1%7D%7Bn2-n1%7D)
where
d ----> number of dollars (dependent variable or output value)
n ---> number of ounces (independent variable or input value)
Remember that the slope of the linear equation is the same that the unit rate
<u><em>Verify each case</em></u>
1) we have
![d=16n](https://tex.z-dn.net/?f=d%3D16n)
This is a proportional relationship between the variables d and n
The slope is
![m=16\frac{dollars}{ounce}](https://tex.z-dn.net/?f=m%3D16%5Cfrac%7Bdollars%7D%7Bounce%7D)
therefore
The unit rate is ![16\frac{dollars}{ounce}](https://tex.z-dn.net/?f=16%5Cfrac%7Bdollars%7D%7Bounce%7D)
2) we have
<em>First table</em>
take two points from the table
(4,1) and (16,4)
substitute in the formula of slope
![m=\frac{d2-d1}{n2-n1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bd2-d1%7D%7Bn2-n1%7D)
![m=\frac{4-1}{16-4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-1%7D%7B16-4%7D)
![m=\frac{3}{12}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%7D%7B12%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
simplify
![m=\frac{1}{4}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
therefore
The unit rate is ![\frac{1}{4}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
3) we have
![n=4d](https://tex.z-dn.net/?f=n%3D4d)
This is a proportional relationship between the variables d and n
isolate the variable d
![d=\frac{1}{4}n](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1%7D%7B4%7Dn)
The slope is
![m=\frac{1}{4}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
therefore
The unit rate is ![\frac{1}{4}\frac{dollars}{ounce}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cfrac%7Bdollars%7D%7Bounce%7D)
4) we have
<em>Second table</em>
take two points from the table
(1,4) and (2,8)
substitute in the formula of slope
![m=\frac{d2-d1}{n2-n1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bd2-d1%7D%7Bn2-n1%7D)
![m=\frac{8-4}{2-1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B8-4%7D%7B2-1%7D)
![m=4\frac{dollars}{ounce}](https://tex.z-dn.net/?f=m%3D4%5Cfrac%7Bdollars%7D%7Bounce%7D)
therefore
The unit rate is ![4\frac{dollars}{ounce}](https://tex.z-dn.net/?f=4%5Cfrac%7Bdollars%7D%7Bounce%7D)