Question

Quick algebra 1 question for some points!

Only answer if you know the answer, quick shout-out to Subtomex0, tysm for the help!

Answer 1

3)

`(y)/(x) = (4)/( - 3) = (8)/( - 6) = (12)/( - 9) \\ this \: relation \: holds \: so \: y \: varies \\ directly \: with \: x`

`( 4)/(3) m = (8)/( - 6) \\ m = ( ( - 8)/(6) )/( (3)/( - 4) ) = (8 * 4)/(6 * 3) = (32)/(18) = 2 \\ multipling \: by \: 2`

2)

`(y)/(x) = ( - 40)/( - 0.5) = (8)/(2.5) = (5)/(4) \\ (y)/(x) = 80 = 3.2 = 1.25 \\ this \: is \: untrue \: so \: y \: is \: not \\ varying \: directly \: with \: x`

`no \: constant \: of \: variation`

4)

`(y)/(x) = (21)/(3) = (31.5)/(4.5) = (38.5)/(5.5 \\ ) \\ (y)/(x) = 7 = 7 = 7 \\ y \: varies \: directl y\: with \: x \\ consant \: of \: var = (y)/(x) = 7`

5)

`(y)/(x) = (30)/(6) = (35)/(7) = (96)/(8) \\ (y)/(x) = 5 = 5 = 12 \\ y \: does \: not \: vary \: directly \: with \: x`