How would you show a rate of change of 60 miles per hour on a graph? Name
some of the points.

You would show it by creating a XY graph and labelling the Y axis as the hours and the X axis as the distance. Some points are (1,60), (2,120), and (3,180).

Step-by-step explanation:

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:

answer:

c. the third graph