Question

Need help on aleks knowledge check, due rlly soon thank you

Answer 1

a) y =
`(1)/(2) x`

b) y =
`(5)/(2)`

Explanation:

I. If y = 9 and x = 18

so x is double value of y or y * 2

y will be half of x value

that makes y =
`(1)/(2)` x

II. If x = 5, replace x with 5

y =
`(1)/(2)` (5)

y =
`(5)/(2)`

Answer 2

(a).

`{ \boxed{ \sf{y = (1)/(2)x }}}`

b).

`{ \boxed { \sf{y = (5)/(2) }}}`

Explanation:

explanation for (a):

`{ \sf{y \: \alpha \: x}} \\ { \sf{y = kx}}`

when y is 9, x is 18

`{ \sf{9 = (k * 18)}} \\ { \sf{k = (1)/(2) }}`

therefore equation is:

`{ \sf{y = (1)/(2)x }}`

explanation for (b):

when x is 5:

`{ \sf{y = (1)/(2)x }} \\ \\ { \sf{y = (1)/(2) * 5}} \\ \\ { \sf{y = (5)/(2) }}`