anita grew a garden with 3/4 of the area for vegetables. in the vegetable section 1/6 of the area is carrots. what fraction of the total garden is carrots.

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  1/8

Step-by-step explanation:

The fraction of the total is ...

  (1/6) of (3/4) = (1×3)/(6×4) = 3/24 = 1/8

1/8 of the total garden is carrots.

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: