Question

Please help! Will medal and fan!

Answer 1

@Erak

Answer 2

So basically a direct linear variation equation is set up like

h(x) = mx

You are given both the h(x) and x, just solve for m.

Answer 3

I dont get it, sorry

Answer 4

Okay it tells you h(x) = 4 when x = 16, right? So those are two variables in that equation I put up. We would substitute those variables like so:

h(x) = mx
4 = 16m
m = ?

Answer 5

4

Answer 6

right?

Answer 7

So in order to get m by itself, in this case you would do 4/16, giving you 1/4 because you would have to divide both sides by 16

Answer 8

Oh opps, I did it the other way around

Answer 9

So now you know the m value is 1/4. Now you can build a general equation for that like so:

h(x) = 1/4x

Does that make sense so far?

Answer 10

Yeah

Answer 11

Now it's asking you to find x when h(x) = 16, so the equation is set up like so:

h(x) = 1/4x
16 = 1/4x
x = ?

Answer 12

4

Answer 13

So in this case, you be doing \[16 \div \frac{ 1 }{ 4 }\] Do you know how to divide a fraction?

Answer 14

you make it into a decimal first

Answer 15

Oh god I misread that, it's actually h(x) = 6. My bad.

h(x) = 1/4x
6 = 1/4x
x = ?

And you can use a decimal, giving you 6/.25 = 24.

Answer 16

Or, if you want to learn about dividing fractions, you would flip the second fraction like so
\[6 \times \frac{ 4 }{ 1 }\]

Answer 17

Oh right

Answer 18

3/2 or 1 1/2

Answer 19

So that just be 6x4 = 24 in that case

Answer 20

oh

Answer 21

So that' the answer? 24?

Answer 22

@Erak

Answer 23

yeah

Answer 24

Oh okay, thanks!