Answer:
![y=4x](https://tex.z-dn.net/?f=y%3D4x)
Step-by-step explanation:
Let
y ----> the distance in miles
x ----> the time in hours
using proportion
![\frac{y}{x}=\frac{(4/5)}{(1/5)}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B%284%2F5%29%7D%7B%281%2F5%29%7D)
Simplify
![\frac{y}{x}=\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B4%7D%7B1%7D)
![y=4x](https://tex.z-dn.net/?f=y%3D4x)
This is a linear direct variation
The unit rate or speed is the slope of the linear equation
The unit rate is 4 miles/hour
Answer:
or ![n = 2\frac{2}{3}](https://tex.z-dn.net/?f=n%20%3D%202%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Multiply both sides of the equation by ![\frac{10}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B3%7D)
![(\frac{10}{3}) (\frac{3}{10})*n= (\frac{10}{3})(\frac{4}{5})](https://tex.z-dn.net/?f=%28%5Cfrac%7B10%7D%7B3%7D%29%20%28%5Cfrac%7B3%7D%7B10%7D%29%2An%3D%20%28%5Cfrac%7B10%7D%7B3%7D%29%28%5Cfrac%7B4%7D%7B5%7D%29)
Simplify both sides of the equation.
or ![n = 2\frac{2}{3}](https://tex.z-dn.net/?f=n%20%3D%202%5Cfrac%7B2%7D%7B3%7D)
<em>hope this helps :)</em>
Answer:
4x+2
Step-by-step explanation:
(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2