Answer:
y=5/4-10
Step-by-step explanation:
We have to determine if the functions are linear or not.
We can do this by rearranging the equations in this form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m and b are constants.
<em>NOTE: There are many ways to prove that a function is linear, but this is the easiest for this question. </em>
36.
![\begin{gathered} x+\frac{1}{y}=7 \\ \frac{1}{y}=-x+7 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B%5Cfrac%7B1%7D%7By%7D%3D7%20%5C%5C%20%5Cfrac%7B1%7D%7By%7D%3D-x%2B7%20%5Cend%7Bgathered%7D)
As this function can not be written in the form y=mx+b, then it is not linear.
37.
![\begin{gathered} \frac{x}{2}=10+\frac{2y}{3} \\ \frac{x}{2}-10=\frac{2y}{3} \\ \frac{2y}{3}=\frac{1}{2}x-10 \\ y=\frac{3}{2}(\frac{1}{2}x-10) \\ y=\frac{3}{4}x-15 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bx%7D%7B2%7D%3D10%2B%5Cfrac%7B2y%7D%7B3%7D%20%5C%5C%20%5Cfrac%7Bx%7D%7B2%7D-10%3D%5Cfrac%7B2y%7D%7B3%7D%20%5C%5C%20%5Cfrac%7B2y%7D%7B3%7D%3D%5Cfrac%7B1%7D%7B2%7Dx-10%20%5C%5C%20y%3D%5Cfrac%7B3%7D%7B2%7D%28%5Cfrac%7B1%7D%7B2%7Dx-10%29%20%5C%5C%20y%3D%5Cfrac%7B3%7D%7B4%7Dx-15%20%5Cend%7Bgathered%7D)
This function is now in the form y=mx+b, where m=3/4 and b=-15. Then, this function is a linear function.
Answer:
36. Non-linear.
37. Linear.
Answer:
16 boys
Step-by-step explanation:
Lets go with easy example:
20% of 100 students means 20 students: what is done there
- We converted 20% to 20/100 so
![\frac{20}{100}*100=20](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B100%7D%2A100%3D20)
Lets do the same with 80 students as well