Tom jogged from 10: 30 a. m. to 12: 15 p. m. he traveled a distance of 7 miles. a. what was his average rate of jogging? b. at 12: 15 p. m, he decided to go an additional 5 miles at the same rate. at what time should he finish the additional 5 miles

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: