Question

Given that y2 is directly proportional to the cube of x and y is always positive, find the value of y when x = 9 if y = 8 when x = 4​

Answer 1

Answer:

First find the value of the constant of proportionality k, then use that value in the case that you specify.

y = k/x [An inverse proportion]

3 = k/4

k = 12

y = 12/8

y = 3/2 = 1.5

Easy-peasy.

Answer 2

Answer:

3.85kg

since, wt. of potatoes= wt. of total vegetables- (wt. of tomatoes + wt. of onions)

Given

Total weight =10kg

Weight of onions = 3.5kg

Weight of tomatoes = 2.075kg

Let weight of potato be x

⇒3.5+2.075+x=10

⇒5.575+x=10

⇒x=10−5.575

⇒x=4.425

∴x=4kg425g

Therefore weight of potatoes =4kg 425g