Question

Please help I fan and give medals!
If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(2).
A.192
B.72
C.32
D.24

Answer 1

@ParthKohli AHHH! I NEED YOUR SMARTNESS!

Answer 2

Again, we have an equation f(x) = c * x^2

Answer 3

Right can you walk me through it?

Answer 4

Sorry... OK, so first let's find c.

Answer 5

We can make out

Answer 6

c from the given data above

Answer 7

f(2)=c times x^2

Answer 8

So for x = 4, we have f(x) = 96. Let's plug that in the original equation:

96 = c * (4)^2

Answer 9

Solve for c.

Answer 10

um how do I do that I probably sound realy dumb right now. :(

Answer 11

What is 4^2?

Answer 12

16

Answer 13

then what?

Answer 14

96 = c * 16

Answer 15

right

Answer 16

c = 6

Answer 17

how?

Answer 18

96 = c * 16
Divide both sides by 16

Answer 19

ok now what do I do?

Answer 20

So you finally have f(x) = 6x^2. Use it to get f(2)

Answer 21

then?

Answer 22

I'm sorry I'm just really confused on this whole thing. :(

Answer 23

I'm sorry. It's a pain to type on my phone. I promise i can do better on the laptop.

Answer 24

oh its ok

Answer 25

f(2) = 6 * (2)^2

Answer 26

f(2)=24?

Answer 27

Yus!

Answer 28

ok so then thats my answer?

Answer 29

@ParthKohli

Answer 30

Yes

Answer 31

ok thanks again can I bother you one more time to check one of my answers?