Lin traveled miles in 1 minute. * though

She traveled 0.25 miles or 1/4 of a mile in 1 minute

Step-by-step explanation:

2 miles takes 8 minutes

1 mile takes 4 minutes

1/2 or 0.50 miles takes 2 minutes

so she would travel 0.25 miles or 1/4 of a mile in 1 minute

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: