Mr. jones jogs the same route each day. the amount of time he jogs is inversely proportional to his jogging rate. what option gives possible rates and times for two of his jogs? 4 mph for 2.5 hours and 5 mph for 2 hours 4 mph for 2.5 hours and 6 mph for 3.75 hours 4 mph for 2.5 hours and 3 mph for 3.5 hours 3 mph for 2 hours and 4.5 mph for 3 hours

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: