Question

suppose y varies directly with x. write a direct variation equation the relates x and y. then find the value of y when x =16
y=5 when x=2

Answer 1

For direct variation
y = kx
k is the propotionality constany

Answer 2

@bry856

Answer 3

y = k*x

y = k*2 ... replace x with 2

5 = k*2 ... replace y with 5

solve for k to get k = _________ (fill in the blank)

Answer 4

After getting k ...plug the value of k and x in the equation and get y

Answer 5

y=40

Answer 6

you should have found that k = 2.5

y = 2.5x

when x = 16, y = 2.5*16 = 40

so you have the correct y value

Answer 7

how do I find the direct variation that related x and y?

Answer 8

what do you mean?

Answer 9

it says write a direct variation equation that relates x and y. this is still the same problem.

Answer 10

so it just wants the equation with x and y in it

Answer 11

the k will be replaced with the numeric value you found

Answer 12

so y=40x?

Answer 13

So you can either say \[\Large y = \frac{5}{2}x\] or \[\Large y = 2.5x\]

Answer 14

I started with y = kx

then replaced k with 5/2 or 2.5

Answer 15

ohh ok I get it now thank you

Answer 16

np