Question

If p varies directly with q, and p = 10 when q = 2, what is the value of p when q = 20?

Is the answer 40?

Answer 1

no

Answer 2

\[p=kq\]

Answer 3

Oh wait, I used the wrong formula, one second sorry!

Answer 4

Plug in the given values of p and q and solve for k.

Answer 5

I put in the numbers: 2 and 10 right?

Answer 6

Yes

Answer 7

ok so it'll be p = kq

10 = 2k
10/2 = k
5 = k?

Answer 8

Yes

Answer 9

then I do it again?

10 = 5 x 2?

Answer 10

10 = 10

Answer 11

Then rewrite the equation with 5 replacing the k

Answer 12

\[p=5q\]

Answer 13

or do I do 20 now?

Answer 14

Now find p if q=20

Answer 15

\[p=5(20)\]

Answer 16

p = 100

Answer 17

Yep. Do you understand what you just did?

Answer 18

Yes :)

Answer 19

Thank you for your help!

Answer 20

yw