Beth had planned to run an average of 6 miles per hour in a race. she had a very good race and actually ran at an average of 7 miles per hour, finishing ten minutes sooner than if she had averaged 6 miles per hour. how long was the race? 6 miles? 7 miles? 18 miles? 60 miles? 70 miles?

(x/7) = actual time

Step-by-step explanation:

f

step-by-step explanation:

f

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: