Smithton City Hall, the Ace Supermarket, and the Smithton post office all are on Main Street. The supermarket is 3.25 kilometers north of City Hall. The post office is 1.75 kilometers south of City Hall. How far apart are Ace Supermarket and the Smithton post office? A. 1.5 kilometers B. 2.5 kilometers C. 5 kilometers D. 6 kilometers

Step-by-step explanation:

Distance between Ace Supermarket is north of city hall and the post office is south of city.

This means that the city hall is in between the Ace Supermarket and post office.

Hence, the distance between the Ace Supermarket and post office is .

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: