Question

Please look at the picture for the question

Answer 1

Explanation:

this just means that there is a relationship between x and y that looks like

y = kx

for the given data that means

10 = k×24

k = 10/24 = 5/12

when x = 36 that means

y = 5/12 × 36 = 5×3 = 15

Answer 2

y = 15

Explanation:

given that y varies directly with x , then the equation relating them is

y = kx ← k is the constant of variation

to find k , substitute y = 10, x = 24 into the equation

10 = 24k ( divide both sides by 24 )

`(10)/(24)` =
`(24)/(24)` k , that is

`(5)/(12)` = k

y =
`(5)/(12)` x ← equation of variation

when x = 36 , then

y =
`(5)/(12)` × 36 = 5 × 3 = 15