Question

Find the constant of variation for the relationship f(x)= 50x.

x
f(x)
5
50

Answer 1

what will stay the same?

Answer 2

@Bananas1234 ?

Answer 3

f(x) depends on the value
5 and 50 are just a numbers
the value of x will never change for the equation

Answer 4

i see

Answer 5

I think that makes sence

Answer 6

so what do you think the answer is?

Answer 7

A?

Answer 8

yes

Answer 9

no

Answer 10

constant of variation is not x

Answer 11

ok

Answer 12

\(\large\color{black}{ \displaystyle y=k~\cdot x }\) is the equation for the direct variation.


\(\large\color{black}{ \displaystyle x }\) is the independent variable (it is whatever you plug in for x).

\(\large\color{black}{ \displaystyle y }\) is the dependent variable (it depends on what value you are going to plug in for x).

\(\large\color{black}{ \displaystyle k }\) is the constant that relates y and x.
In this case, whatever you plug it for x, the y will be k times greater than that.

Answer 13

So do i have to slove for K?

Answer 14

You don't need to "solve for k"

just compare the (abstract) form y=kx to your equations

Answer 15

equation*

Answer 16

50?

Answer 17

\(\large\color{black}{ \displaystyle y=k~\cdot x }\)
formula.


\(\large\color{black}{ \displaystyle y=50~\cdot x }\)
your's

Answer 18

if you have any questions, please ask.

Answer 19

So if K = 50 would that mean the Constant would be 50?

Answer 20

yes.

Answer 21

Also, "constant" (by definition) is "a number"

(not a variable) but any real number.

Answer 22

Thank you. So for future refrence i just compare my given equation to Y = K times X?

Answer 23

well, for this question, or questions that involve different numbers but have the same format, then yes.

Answer 24

Thanks

Answer 25

or, you can say this....

Answer 26

```
"constant of variation" is a number that relates the 2 variables.
What are the variables here? Well, they are x and y.
What does the 50 do? Any number that you plug in for x (call it a), will be
multiplied times 50 to find y (and that is regardless of what the value of a is).
So k is relating y and x, by saying that any y-value is greater than x-value
[as you plug in any number for x].
```

Answer 27

hope this made sense just now.

Answer 28

I think so, math is kinda hard for me. I will save that info. thanks.

Answer 29

Alright... not that it is easy for anyone (well, on person's own level).
You are welcome!