Question

I need help please and thank you
(show work please)​

Answer 1

y = 42x

Explanation:

since it is linear it is proportional

using y = mx + c where m is the gradient

working out the gradient pick any two coordinates, I'll use (6, 252) and (12, 504)

`gradient \: = (change \: in \: y)/(change \: in \: x)`

`gradient = (504 - 252)/(12 - 6) = 42`

m = 42

input m = 42 in y = mx + c

the equation is now y = 42x + c

use one of the coordinates (6, 252) or (12, 504), I'm using (6, 252)

y = 42x + c where y = 252 and x = 6, solving for c:

252 = (42 × 6) + c

252 = 252 + c

c = 0

so the final equation is y = 42x