Answer:
X = 100
Step-by-step explanation:
- In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
- This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.
- Multiply the left by k, so [tex]y = \frac{k}{\sqrt{x} }[/tex]
- we know that y= 5, for x = 36, so sub this in the equation
- [tex]5 = \frac{k}{\sqrt{36} }[/tex]
- simplify[tex]5 = \frac{k}{6 }[/tex]
- re-arrange for k, k = 5*6 = 30
- now we know k, we can create the real equation, [tex]y = \frac{30}{\sqrt{x} }[/tex]
- sub in 3 as y
- [tex]3 = \frac{30}{\sqrt{x} }[/tex]
- x = 100
