Question

Hi, can you please help me answer this direct proportion question?

Answer 1

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.

1. Multiply the left by k, so $y = \frac{k}{\sqrt{x} }$
2. we know that y= 5, for x = 36, so sub this in the equation
3. $5 = \frac{k}{\sqrt{36} }$
4. simplify$5 = \frac{k}{6 }$
5. re-arrange for k, k = 5*6 = 30
6. now we know k, we can create the real equation, $y = \frac{30}{\sqrt{x} }$
7. sub in 3 as y
8. $3 = \frac{30}{\sqrt{x} }$
9. x = 100