A card is chosen at random from a deck of 28 cards, 4 red, 14 black, 3 blue, and 7 green. Then, the card is returned to the deck and a new card is chosen. The table below shows the results of choosing 20 cards. For which color of card is the experimental probability the same as the theoretical probability?

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:

step-by-step explanation:

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step-by-step explanation: