The distance from my home to my school is 4 miles. If I can walk at an average rate of 3 miles per hour, how many minutes should it take to walk from home to school?

80 minutes

Step-by-step explanation:

* means multiply

make 1 hour into 60 minutes

3 miles/60 minutes = 4 miles/x minutes

3x = 240

x = 80

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:

step-by-step explanation: