Use the table for 19–23. write each ratio in the form __ a b and then as a decimal. tell whether each decimal is a terminating or a repeating decimal. 19. basketball players to football players 20. hockey players to lacrosse players 21. polo players to football players 22. lacrosse players to rugby players 23. football players to soccer players

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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: