Angle uses 2/3 cup of strawberry to make 5/6 of a liter of smoothie. what is the unit rate in cups of strawberries per liter of smoothie? a. 5/9 b. 3/4 c. 4/5 d. 5/4 been stuck on this for an hour a lil ?

2/3 = 5/6          

Step-by-step explanation:

You divide to find out how much smoothie you could make with 1/3 cup of strawberry

1/3= 1  1/4  The answer you would get is  1  1/4, which you convert into 5/4

1= 5/4 x 3    As you would need to multiply 1/3 by 3 to get 1, you times it by 3

1 = 3  3/4  Therefore, the answer is 3 3/4 cup of smoothie compared to 1 cup of strawberries

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: