A group of 444 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their low scores are all between 909090 and 100100100, except for Angie, whose low score is 808080. Angie then golfs a great round and has a new low score of 757575. How will decreasing Angie's low score affect the mean and median?

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: