In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. what proportion of the cocktail is coconut milk? give your answer as a fraction in its simplest form.

9 / 20

Step-by-step explanation:

We can form a ratio with the information "for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk"

25 : 30 : 45

Total = 100

Coconut milk = 45 ml

45 / 100 = 9 / 20

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: