Question

Find the constant of the variation and slope. Picture attached in comments.

Answer 1

@Hero @amistre64

Answer 2

what is the value of y at x=0?

what is the value of y at x=1?

Answer 3

Y=0
Y=3

Answer 4

good, then the change from x=0 to x=1 is the slope; so y changes by +3 right?

Answer 5

the constant of variation IS slope i believe

Answer 6

um

Answer 7

pfft, i didnt even see the equation above it :)

y = 3x

slope = 3

constant of variation is y/x; y/x = 3

Answer 8

the formula to find this is y=kx, and k is the slope, os if y=3x the answer is 3

Answer 9

right? i don't know. i don't have y or x

Answer 10

3 is the slope yes

Answer 11

awesome:) i have one more question if you have time

Answer 12

i have a little time, trying to figure out a diffy Q with nonconstant coeffs; thinking of seeing if i can pull off a power series solution

Answer 13

what does it mean for variables to vary directly and indirectly? I can't find the definition in my math book

Answer 14

to vary directly means that when one of them gets bigger, the other one does too

y = kx is a direct variation; as x gets bigger, so does y

to vary indirectly means that as one gets bigger the other gets smaller

y = k/x is an indirect variation; as x gets bigger, y gets smaller

Answer 15

thank you:) this helps a lot